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Finding the Fourth Proportional to 10,460.76, 15,687.80 and 3,439.16

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Solution

The fourth proportional to 10,460.76, 15,687.80 and 3,439.16 is: 5,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.76 : 15,687.80 = 3,439.16 : x
  2. Step 2: Convert to fraction form
    10,460.76/15,687.80 = 3,439.16/x
  3. Step 3: Cross multiply
    10,460.76x = 15,687.80 × 3,439.16
  4. Step 4: Simplify right side
    10,460.76x = 53,952,854.25
  5. Step 5: Solve for x
    x = 53,952,854.25/10,460.76
  6. Step 6: Final answer
    x = 5,157.64

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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.