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Finding the Fourth Proportional to 9,850.50, 14,775.75 and 9,602.64

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Solution

The fourth proportional to 9,850.50, 14,775.75 and 9,602.64 is: 14,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.50 : 14,775.75 = 9,602.64 : x
  2. Step 2: Convert to fraction form
    9,850.50/14,775.75 = 9,602.64/x
  3. Step 3: Cross multiply
    9,850.50x = 14,775.75 × 9,602.64
  4. Step 4: Simplify right side
    9,850.50x = 141,886,207.98
  5. Step 5: Solve for x
    x = 141,886,207.98/9,850.50
  6. Step 6: Final answer
    x = 14,403.96

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.