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Finding the Fourth Proportional to 10,349.11, 14,245.71 and 9,020.50

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Solution

The fourth proportional to 10,349.11, 14,245.71 and 9,020.50 is: 12,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.11 : 14,245.71 = 9,020.50 : x
  2. Step 2: Convert to fraction form
    10,349.11/14,245.71 = 9,020.50/x
  3. Step 3: Cross multiply
    10,349.11x = 14,245.71 × 9,020.50
  4. Step 4: Simplify right side
    10,349.11x = 128,503,427.06
  5. Step 5: Solve for x
    x = 128,503,427.06/10,349.11
  6. Step 6: Final answer
    x = 12,416.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.