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Finding the Fourth Proportional to 13,147.74, 18,143.84 and 8,432

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Solution

The fourth proportional to 13,147.74, 18,143.84 and 8,432 is: 11,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.74 : 18,143.84 = 8,432 : x
  2. Step 2: Convert to fraction form
    13,147.74/18,143.84 = 8,432/x
  3. Step 3: Cross multiply
    13,147.74x = 18,143.84 × 8,432
  4. Step 4: Simplify right side
    13,147.74x = 152,988,858.88
  5. Step 5: Solve for x
    x = 152,988,858.88/13,147.74
  6. Step 6: Final answer
    x = 11,636.13

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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.