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Finding the Fourth Proportional to 17,876.65, 24,670.33 and 9,919.61

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Solution

The fourth proportional to 17,876.65, 24,670.33 and 9,919.61 is: 13,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.65 : 24,670.33 = 9,919.61 : x
  2. Step 2: Convert to fraction form
    17,876.65/24,670.33 = 9,919.61/x
  3. Step 3: Cross multiply
    17,876.65x = 24,670.33 × 9,919.61
  4. Step 4: Simplify right side
    17,876.65x = 244,720,113.85
  5. Step 5: Solve for x
    x = 244,720,113.85/17,876.65
  6. Step 6: Final answer
    x = 13,689.37

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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.