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Finding the Fourth Proportional to 5,712.90, 8,567.67 and 2,591.10

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Solution

The fourth proportional to 5,712.90, 8,567.67 and 2,591.10 is: 3,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.90 : 8,567.67 = 2,591.10 : x
  2. Step 2: Convert to fraction form
    5,712.90/8,567.67 = 2,591.10/x
  3. Step 3: Cross multiply
    5,712.90x = 8,567.67 × 2,591.10
  4. Step 4: Simplify right side
    5,712.90x = 22,199,689.74
  5. Step 5: Solve for x
    x = 22,199,689.74/5,712.90
  6. Step 6: Final answer
    x = 3,885.89

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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.