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Finding the Fourth Proportional to 15,781.80, 21,781.26 and 9,495.48

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Solution

The fourth proportional to 15,781.80, 21,781.26 and 9,495.48 is: 13,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.80 : 21,781.26 = 9,495.48 : x
  2. Step 2: Convert to fraction form
    15,781.80/21,781.26 = 9,495.48/x
  3. Step 3: Cross multiply
    15,781.80x = 21,781.26 × 9,495.48
  4. Step 4: Simplify right side
    15,781.80x = 206,823,518.70
  5. Step 5: Solve for x
    x = 206,823,518.70/15,781.80
  6. Step 6: Final answer
    x = 13,105.19

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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.