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Finding the Fourth Proportional to 17,685.86, 24,405.97 and 9,728.09

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Solution

The fourth proportional to 17,685.86, 24,405.97 and 9,728.09 is: 13,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.86 : 24,405.97 = 9,728.09 : x
  2. Step 2: Convert to fraction form
    17,685.86/24,405.97 = 9,728.09/x
  3. Step 3: Cross multiply
    17,685.86x = 24,405.97 × 9,728.09
  4. Step 4: Simplify right side
    17,685.86x = 237,423,350.67
  5. Step 5: Solve for x
    x = 237,423,350.67/17,685.86
  6. Step 6: Final answer
    x = 13,424.47

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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.