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Finding the Fourth Proportional to 4,654.72, 6,981.20 and 2,431.16

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Solution

The fourth proportional to 4,654.72, 6,981.20 and 2,431.16 is: 3,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.72 : 6,981.20 = 2,431.16 : x
  2. Step 2: Convert to fraction form
    4,654.72/6,981.20 = 2,431.16/x
  3. Step 3: Cross multiply
    4,654.72x = 6,981.20 × 2,431.16
  4. Step 4: Simplify right side
    4,654.72x = 16,972,396.17
  5. Step 5: Solve for x
    x = 16,972,396.17/4,654.72
  6. Step 6: Final answer
    x = 3,646.28

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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.