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Finding the Fourth Proportional to 17,679.62, 24,397.65 and 9,721.77

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Solution

The fourth proportional to 17,679.62, 24,397.65 and 9,721.77 is: 13,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679.62 : 24,397.65 = 9,721.77 : x
  2. Step 2: Convert to fraction form
    17,679.62/24,397.65 = 9,721.77/x
  3. Step 3: Cross multiply
    17,679.62x = 24,397.65 × 9,721.77
  4. Step 4: Simplify right side
    17,679.62x = 237,188,341.84
  5. Step 5: Solve for x
    x = 237,188,341.84/17,679.62
  6. Step 6: Final answer
    x = 13,415.92

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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.