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Finding the Fourth Proportional to 9,612, 13,264.32 and 5,419.92

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Solution

The fourth proportional to 9,612, 13,264.32 and 5,419.92 is: 7,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 13,264.32 = 5,419.92 : x
  2. Step 2: Convert to fraction form
    9,612/13,264.32 = 5,419.92/x
  3. Step 3: Cross multiply
    9,612x = 13,264.32 × 5,419.92
  4. Step 4: Simplify right side
    9,612x = 71,891,553.25
  5. Step 5: Solve for x
    x = 71,891,553.25/9,612
  6. Step 6: Final answer
    x = 7,479.35

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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.