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Finding the Fourth Proportional to 17,931, 26,900.82 and 5,619

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Solution

The fourth proportional to 17,931, 26,900.82 and 5,619 is: 8,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931 : 26,900.82 = 5,619 : x
  2. Step 2: Convert to fraction form
    17,931/26,900.82 = 5,619/x
  3. Step 3: Cross multiply
    17,931x = 26,900.82 × 5,619
  4. Step 4: Simplify right side
    17,931x = 151,155,707.58
  5. Step 5: Solve for x
    x = 151,155,707.58/17,931
  6. Step 6: Final answer
    x = 8,429.85

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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.