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Finding the Fourth Proportional to 17,679.96, 24,399 and 9,722.80

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Solution

The fourth proportional to 17,679.96, 24,399 and 9,722.80 is: 13,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679.96 : 24,399 = 9,722.80 : x
  2. Step 2: Convert to fraction form
    17,679.96/24,399 = 9,722.80/x
  3. Step 3: Cross multiply
    17,679.96x = 24,399 × 9,722.80
  4. Step 4: Simplify right side
    17,679.96x = 237,226,597.20
  5. Step 5: Solve for x
    x = 237,226,597.20/17,679.96
  6. Step 6: Final answer
    x = 13,417.82

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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.