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Finding the Fourth Proportional to 39,843.18, 54,985.86 and 21,942

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Solution

The fourth proportional to 39,843.18, 54,985.86 and 21,942 is: 30,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843.18 : 54,985.86 = 21,942 : x
  2. Step 2: Convert to fraction form
    39,843.18/54,985.86 = 21,942/x
  3. Step 3: Cross multiply
    39,843.18x = 54,985.86 × 21,942
  4. Step 4: Simplify right side
    39,843.18x = 1,206,499,740.12
  5. Step 5: Solve for x
    x = 1,206,499,740.12/39,843.18
  6. Step 6: Final answer
    x = 30,281.21

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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.