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Finding the Fourth Proportional to 10,502.10, 15,765.30 and 6,063.30

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Solution

The fourth proportional to 10,502.10, 15,765.30 and 6,063.30 is: 9,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.10 : 15,765.30 = 6,063.30 : x
  2. Step 2: Convert to fraction form
    10,502.10/15,765.30 = 6,063.30/x
  3. Step 3: Cross multiply
    10,502.10x = 15,765.30 × 6,063.30
  4. Step 4: Simplify right side
    10,502.10x = 95,589,743.49
  5. Step 5: Solve for x
    x = 95,589,743.49/10,502.10
  6. Step 6: Final answer
    x = 9,101.96

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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.