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Finding the Fourth Proportional to 17,739, 24,479.99 and 9,781.49

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Solution

The fourth proportional to 17,739, 24,479.99 and 9,781.49 is: 13,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739 : 24,479.99 = 9,781.49 : x
  2. Step 2: Convert to fraction form
    17,739/24,479.99 = 9,781.49/x
  3. Step 3: Cross multiply
    17,739x = 24,479.99 × 9,781.49
  4. Step 4: Simplify right side
    17,739x = 239,450,826.36
  5. Step 5: Solve for x
    x = 239,450,826.36/17,739
  6. Step 6: Final answer
    x = 13,498.55

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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.