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Finding the Fourth Proportional to 18,781.80, 25,919 and 10,398.28

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Solution

The fourth proportional to 18,781.80, 25,919 and 10,398.28 is: 14,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781.80 : 25,919 = 10,398.28 : x
  2. Step 2: Convert to fraction form
    18,781.80/25,919 = 10,398.28/x
  3. Step 3: Cross multiply
    18,781.80x = 25,919 × 10,398.28
  4. Step 4: Simplify right side
    18,781.80x = 269,513,019.32
  5. Step 5: Solve for x
    x = 269,513,019.32/18,781.80
  6. Step 6: Final answer
    x = 14,349.69

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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.