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Finding the Fourth Proportional to 10,487.55, 14,472.98 and 5,707.64

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Solution

The fourth proportional to 10,487.55, 14,472.98 and 5,707.64 is: 7,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.55 : 14,472.98 = 5,707.64 : x
  2. Step 2: Convert to fraction form
    10,487.55/14,472.98 = 5,707.64/x
  3. Step 3: Cross multiply
    10,487.55x = 14,472.98 × 5,707.64
  4. Step 4: Simplify right side
    10,487.55x = 82,606,458.66
  5. Step 5: Solve for x
    x = 82,606,458.66/10,487.55
  6. Step 6: Final answer
    x = 7,876.62

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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.