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Finding the Fourth Proportional to 11,210.80, 15,472.92 and 6,497.68

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Solution

The fourth proportional to 11,210.80, 15,472.92 and 6,497.68 is: 8,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.80 : 15,472.92 = 6,497.68 : x
  2. Step 2: Convert to fraction form
    11,210.80/15,472.92 = 6,497.68/x
  3. Step 3: Cross multiply
    11,210.80x = 15,472.92 × 6,497.68
  4. Step 4: Simplify right side
    11,210.80x = 100,538,082.83
  5. Step 5: Solve for x
    x = 100,538,082.83/11,210.80
  6. Step 6: Final answer
    x = 8,967.97

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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.