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Finding the Fourth Proportional to 15,843.80, 21,864.17 and 8,770.07

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Solution

The fourth proportional to 15,843.80, 21,864.17 and 8,770.07 is: 12,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.80 : 21,864.17 = 8,770.07 : x
  2. Step 2: Convert to fraction form
    15,843.80/21,864.17 = 8,770.07/x
  3. Step 3: Cross multiply
    15,843.80x = 21,864.17 × 8,770.07
  4. Step 4: Simplify right side
    15,843.80x = 191,750,301.39
  5. Step 5: Solve for x
    x = 191,750,301.39/15,843.80
  6. Step 6: Final answer
    x = 12,102.54

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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.