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Finding the Fourth Proportional to 10,406.64, 15,610.05 and 4,082.16

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Solution

The fourth proportional to 10,406.64, 15,610.05 and 4,082.16 is: 6,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.64 : 15,610.05 = 4,082.16 : x
  2. Step 2: Convert to fraction form
    10,406.64/15,610.05 = 4,082.16/x
  3. Step 3: Cross multiply
    10,406.64x = 15,610.05 × 4,082.16
  4. Step 4: Simplify right side
    10,406.64x = 63,722,721.71
  5. Step 5: Solve for x
    x = 63,722,721.71/10,406.64
  6. Step 6: Final answer
    x = 6,123.28

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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.