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Finding the Fourth Proportional to 3,124.64, 4,691.84 and 3,102.08

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Solution

The fourth proportional to 3,124.64, 4,691.84 and 3,102.08 is: 4,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.64 : 4,691.84 = 3,102.08 : x
  2. Step 2: Convert to fraction form
    3,124.64/4,691.84 = 3,102.08/x
  3. Step 3: Cross multiply
    3,124.64x = 4,691.84 × 3,102.08
  4. Step 4: Simplify right side
    3,124.64x = 14,554,463.03
  5. Step 5: Solve for x
    x = 14,554,463.03/3,124.64
  6. Step 6: Final answer
    x = 4,657.96

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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.