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Finding the Fourth Proportional to 10,465.20, 14,438.88 and 8,694

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Solution

The fourth proportional to 10,465.20, 14,438.88 and 8,694 is: 11,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.20 : 14,438.88 = 8,694 : x
  2. Step 2: Convert to fraction form
    10,465.20/14,438.88 = 8,694/x
  3. Step 3: Cross multiply
    10,465.20x = 14,438.88 × 8,694
  4. Step 4: Simplify right side
    10,465.20x = 125,531,622.72
  5. Step 5: Solve for x
    x = 125,531,622.72/10,465.20
  6. Step 6: Final answer
    x = 11,995.15

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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.