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Finding the Fourth Proportional to 5,720.34, 8,572.80 and 2,432.54

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Solution

The fourth proportional to 5,720.34, 8,572.80 and 2,432.54 is: 3,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.34 : 8,572.80 = 2,432.54 : x
  2. Step 2: Convert to fraction form
    5,720.34/8,572.80 = 2,432.54/x
  3. Step 3: Cross multiply
    5,720.34x = 8,572.80 × 2,432.54
  4. Step 4: Simplify right side
    5,720.34x = 20,853,678.91
  5. Step 5: Solve for x
    x = 20,853,678.91/5,720.34
  6. Step 6: Final answer
    x = 3,645.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.