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Finding the Fourth Proportional to 17,878.54, 24,672.50 and 9,920.90

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Solution

The fourth proportional to 17,878.54, 24,672.50 and 9,920.90 is: 13,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.54 : 24,672.50 = 9,920.90 : x
  2. Step 2: Convert to fraction form
    17,878.54/24,672.50 = 9,920.90/x
  3. Step 3: Cross multiply
    17,878.54x = 24,672.50 × 9,920.90
  4. Step 4: Simplify right side
    17,878.54x = 244,773,405.25
  5. Step 5: Solve for x
    x = 244,773,405.25/17,878.54
  6. Step 6: Final answer
    x = 13,690.91

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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.