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Finding the Fourth Proportional to 21,959.20, 32,938.80 and 12,093.40

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Solution

The fourth proportional to 21,959.20, 32,938.80 and 12,093.40 is: 18,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.20 : 32,938.80 = 12,093.40 : x
  2. Step 2: Convert to fraction form
    21,959.20/32,938.80 = 12,093.40/x
  3. Step 3: Cross multiply
    21,959.20x = 32,938.80 × 12,093.40
  4. Step 4: Simplify right side
    21,959.20x = 398,342,083.92
  5. Step 5: Solve for x
    x = 398,342,083.92/21,959.20
  6. Step 6: Final answer
    x = 18,140.10

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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.