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Finding the Fourth Proportional to 9,399.68, 12,875.92 and 9,296

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Solution

The fourth proportional to 9,399.68, 12,875.92 and 9,296 is: 12,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.68 : 12,875.92 = 9,296 : x
  2. Step 2: Convert to fraction form
    9,399.68/12,875.92 = 9,296/x
  3. Step 3: Cross multiply
    9,399.68x = 12,875.92 × 9,296
  4. Step 4: Simplify right side
    9,399.68x = 119,694,552.32
  5. Step 5: Solve for x
    x = 119,694,552.32/9,399.68
  6. Step 6: Final answer
    x = 12,733.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.