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Finding the Fourth Proportional to 17,720.78, 26,562.92 and 7,864.70

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Solution

The fourth proportional to 17,720.78, 26,562.92 and 7,864.70 is: 11,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.78 : 26,562.92 = 7,864.70 : x
  2. Step 2: Convert to fraction form
    17,720.78/26,562.92 = 7,864.70/x
  3. Step 3: Cross multiply
    17,720.78x = 26,562.92 × 7,864.70
  4. Step 4: Simplify right side
    17,720.78x = 208,909,424.01
  5. Step 5: Solve for x
    x = 208,909,424.01/17,720.78
  6. Step 6: Final answer
    x = 11,788.95

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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.