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Finding the Fourth Proportional to 7,165.60, 9,891.92 and 5,397.92

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Solution

The fourth proportional to 7,165.60, 9,891.92 and 5,397.92 is: 7,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.60 : 9,891.92 = 5,397.92 : x
  2. Step 2: Convert to fraction form
    7,165.60/9,891.92 = 5,397.92/x
  3. Step 3: Cross multiply
    7,165.60x = 9,891.92 × 5,397.92
  4. Step 4: Simplify right side
    7,165.60x = 53,395,792.81
  5. Step 5: Solve for x
    x = 53,395,792.81/7,165.60
  6. Step 6: Final answer
    x = 7,451.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.