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Finding the Fourth Proportional to 17,677.38, 24,394.88 and 9,720.12

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Solution

The fourth proportional to 17,677.38, 24,394.88 and 9,720.12 is: 13,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.38 : 24,394.88 = 9,720.12 : x
  2. Step 2: Convert to fraction form
    17,677.38/24,394.88 = 9,720.12/x
  3. Step 3: Cross multiply
    17,677.38x = 24,394.88 × 9,720.12
  4. Step 4: Simplify right side
    17,677.38x = 237,121,276.77
  5. Step 5: Solve for x
    x = 237,121,276.77/17,677.38
  6. Step 6: Final answer
    x = 13,413.82

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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.