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Finding the Fourth Proportional to 9,339.32, 12,906.84 and 7,658.12

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Solution

The fourth proportional to 9,339.32, 12,906.84 and 7,658.12 is: 10,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.32 : 12,906.84 = 7,658.12 : x
  2. Step 2: Convert to fraction form
    9,339.32/12,906.84 = 7,658.12/x
  3. Step 3: Cross multiply
    9,339.32x = 12,906.84 × 7,658.12
  4. Step 4: Simplify right side
    9,339.32x = 98,842,129.54
  5. Step 5: Solve for x
    x = 98,842,129.54/9,339.32
  6. Step 6: Final answer
    x = 10,583.44

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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.