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Finding the Fourth Proportional to 9,292.90, 13,920.45 and 5,772.10

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Solution

The fourth proportional to 9,292.90, 13,920.45 and 5,772.10 is: 8,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.90 : 13,920.45 = 5,772.10 : x
  2. Step 2: Convert to fraction form
    9,292.90/13,920.45 = 5,772.10/x
  3. Step 3: Cross multiply
    9,292.90x = 13,920.45 × 5,772.10
  4. Step 4: Simplify right side
    9,292.90x = 80,350,229.45
  5. Step 5: Solve for x
    x = 80,350,229.45/9,292.90
  6. Step 6: Final answer
    x = 8,646.41

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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.