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Finding the Fourth Proportional to 17,878.96, 24,672.21 and 9,920.71

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Solution

The fourth proportional to 17,878.96, 24,672.21 and 9,920.71 is: 13,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.96 : 24,672.21 = 9,920.71 : x
  2. Step 2: Convert to fraction form
    17,878.96/24,672.21 = 9,920.71/x
  3. Step 3: Cross multiply
    17,878.96x = 24,672.21 × 9,920.71
  4. Step 4: Simplify right side
    17,878.96x = 244,765,717.11
  5. Step 5: Solve for x
    x = 244,765,717.11/17,878.96
  6. Step 6: Final answer
    x = 13,690.16

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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.