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Finding the Fourth Proportional to 6,487.64, 9,715.86 and 3,705.88

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Solution

The fourth proportional to 6,487.64, 9,715.86 and 3,705.88 is: 5,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.64 : 9,715.86 = 3,705.88 : x
  2. Step 2: Convert to fraction form
    6,487.64/9,715.86 = 3,705.88/x
  3. Step 3: Cross multiply
    6,487.64x = 9,715.86 × 3,705.88
  4. Step 4: Simplify right side
    6,487.64x = 36,005,811.26
  5. Step 5: Solve for x
    x = 36,005,811.26/6,487.64
  6. Step 6: Final answer
    x = 5,549.91

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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.