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Finding the Fourth Proportional to 9,292.70, 13,902.60 and 8,417.90

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Solution

The fourth proportional to 9,292.70, 13,902.60 and 8,417.90 is: 12,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.70 : 13,902.60 = 8,417.90 : x
  2. Step 2: Convert to fraction form
    9,292.70/13,902.60 = 8,417.90/x
  3. Step 3: Cross multiply
    9,292.70x = 13,902.60 × 8,417.90
  4. Step 4: Simplify right side
    9,292.70x = 117,030,696.54
  5. Step 5: Solve for x
    x = 117,030,696.54/9,292.70
  6. Step 6: Final answer
    x = 12,593.83

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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.