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Finding the Fourth Proportional to 5,720.79, 8,578.07 and 2,432.08

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Solution

The fourth proportional to 5,720.79, 8,578.07 and 2,432.08 is: 3,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.79 : 8,578.07 = 2,432.08 : x
  2. Step 2: Convert to fraction form
    5,720.79/8,578.07 = 2,432.08/x
  3. Step 3: Cross multiply
    5,720.79x = 8,578.07 × 2,432.08
  4. Step 4: Simplify right side
    5,720.79x = 20,862,552.49
  5. Step 5: Solve for x
    x = 20,862,552.49/5,720.79
  6. Step 6: Final answer
    x = 3,646.80

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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.