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Finding the Fourth Proportional to 22,657.20, 33,985.80 and 7,866.15

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Solution

The fourth proportional to 22,657.20, 33,985.80 and 7,866.15 is: 11,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.20 : 33,985.80 = 7,866.15 : x
  2. Step 2: Convert to fraction form
    22,657.20/33,985.80 = 7,866.15/x
  3. Step 3: Cross multiply
    22,657.20x = 33,985.80 × 7,866.15
  4. Step 4: Simplify right side
    22,657.20x = 267,337,400.67
  5. Step 5: Solve for x
    x = 267,337,400.67/22,657.20
  6. Step 6: Final answer
    x = 11,799.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.