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Finding the Fourth Proportional to 18,131.52, 27,172.80 and 9,348

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Solution

The fourth proportional to 18,131.52, 27,172.80 and 9,348 is: 14,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.52 : 27,172.80 = 9,348 : x
  2. Step 2: Convert to fraction form
    18,131.52/27,172.80 = 9,348/x
  3. Step 3: Cross multiply
    18,131.52x = 27,172.80 × 9,348
  4. Step 4: Simplify right side
    18,131.52x = 254,011,334.40
  5. Step 5: Solve for x
    x = 254,011,334.40/18,131.52
  6. Step 6: Final answer
    x = 14,009.38

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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.