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Finding the Fourth Proportional to 11,478, 17,200.84 and 9,127.58

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Solution

The fourth proportional to 11,478, 17,200.84 and 9,127.58 is: 13,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478 : 17,200.84 = 9,127.58 : x
  2. Step 2: Convert to fraction form
    11,478/17,200.84 = 9,127.58/x
  3. Step 3: Cross multiply
    11,478x = 17,200.84 × 9,127.58
  4. Step 4: Simplify right side
    11,478x = 157,002,043.17
  5. Step 5: Solve for x
    x = 157,002,043.17/11,478
  6. Step 6: Final answer
    x = 13,678.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.