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Finding the Fourth Proportional to 9,775.96, 14,669.88 and 4,230.76

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Solution

The fourth proportional to 9,775.96, 14,669.88 and 4,230.76 is: 6,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.96 : 14,669.88 = 4,230.76 : x
  2. Step 2: Convert to fraction form
    9,775.96/14,669.88 = 4,230.76/x
  3. Step 3: Cross multiply
    9,775.96x = 14,669.88 × 4,230.76
  4. Step 4: Simplify right side
    9,775.96x = 62,064,741.51
  5. Step 5: Solve for x
    x = 62,064,741.51/9,775.96
  6. Step 6: Final answer
    x = 6,348.71

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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.