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Finding the Fourth Proportional to 12,438, 17,165.70 and 7,132.32

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Solution

The fourth proportional to 12,438, 17,165.70 and 7,132.32 is: 9,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 17,165.70 = 7,132.32 : x
  2. Step 2: Convert to fraction form
    12,438/17,165.70 = 7,132.32/x
  3. Step 3: Cross multiply
    12,438x = 17,165.70 × 7,132.32
  4. Step 4: Simplify right side
    12,438x = 122,431,265.42
  5. Step 5: Solve for x
    x = 122,431,265.42/12,438
  6. Step 6: Final answer
    x = 9,843.32

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1.5x scale

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.