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Finding the Fourth Proportional to 9,151.12, 13,712.31 and 5,451.32

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Solution

The fourth proportional to 9,151.12, 13,712.31 and 5,451.32 is: 8,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.12 : 13,712.31 = 5,451.32 : x
  2. Step 2: Convert to fraction form
    9,151.12/13,712.31 = 5,451.32/x
  3. Step 3: Cross multiply
    9,151.12x = 13,712.31 × 5,451.32
  4. Step 4: Simplify right side
    9,151.12x = 74,750,244.47
  5. Step 5: Solve for x
    x = 74,750,244.47/9,151.12
  6. Step 6: Final answer
    x = 8,168.43

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1.5x scale

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.