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Finding the Fourth Proportional to 9,407.54, 12,982.20 and 5,158.61

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Solution

The fourth proportional to 9,407.54, 12,982.20 and 5,158.61 is: 7,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.54 : 12,982.20 = 5,158.61 : x
  2. Step 2: Convert to fraction form
    9,407.54/12,982.20 = 5,158.61/x
  3. Step 3: Cross multiply
    9,407.54x = 12,982.20 × 5,158.61
  4. Step 4: Simplify right side
    9,407.54x = 66,970,041.83
  5. Step 5: Solve for x
    x = 66,970,041.83/9,407.54
  6. Step 6: Final answer
    x = 7,118.77

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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.