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Finding the Fourth Proportional to 3,073.68, 4,612.50 and 1,431

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Solution

The fourth proportional to 3,073.68, 4,612.50 and 1,431 is: 2,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.68 : 4,612.50 = 1,431 : x
  2. Step 2: Convert to fraction form
    3,073.68/4,612.50 = 1,431/x
  3. Step 3: Cross multiply
    3,073.68x = 4,612.50 × 1,431
  4. Step 4: Simplify right side
    3,073.68x = 6,600,487.50
  5. Step 5: Solve for x
    x = 6,600,487.50/3,073.68
  6. Step 6: Final answer
    x = 2,147.42

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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.