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Finding the Fourth Proportional to 17,729, 26,594.78 and 6,785

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Solution

The fourth proportional to 17,729, 26,594.78 and 6,785 is: 10,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729 : 26,594.78 = 6,785 : x
  2. Step 2: Convert to fraction form
    17,729/26,594.78 = 6,785/x
  3. Step 3: Cross multiply
    17,729x = 26,594.78 × 6,785
  4. Step 4: Simplify right side
    17,729x = 180,445,582.30
  5. Step 5: Solve for x
    x = 180,445,582.30/17,729
  6. Step 6: Final answer
    x = 10,177.99

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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.