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Finding the Fourth Proportional to 17,681.20, 26,521.80 and 7,815.40

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Solution

The fourth proportional to 17,681.20, 26,521.80 and 7,815.40 is: 11,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.20 : 26,521.80 = 7,815.40 : x
  2. Step 2: Convert to fraction form
    17,681.20/26,521.80 = 7,815.40/x
  3. Step 3: Cross multiply
    17,681.20x = 26,521.80 × 7,815.40
  4. Step 4: Simplify right side
    17,681.20x = 207,278,475.72
  5. Step 5: Solve for x
    x = 207,278,475.72/17,681.20
  6. Step 6: Final answer
    x = 11,723.10

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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.