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Finding the Fourth Proportional to 37,281.92, 55,941.92 and 20,638.80

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Solution

The fourth proportional to 37,281.92, 55,941.92 and 20,638.80 is: 30,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,281.92 : 55,941.92 = 20,638.80 : x
  2. Step 2: Convert to fraction form
    37,281.92/55,941.92 = 20,638.80/x
  3. Step 3: Cross multiply
    37,281.92x = 55,941.92 × 20,638.80
  4. Step 4: Simplify right side
    37,281.92x = 1,154,574,098.50
  5. Step 5: Solve for x
    x = 1,154,574,098.50/37,281.92
  6. Step 6: Final answer
    x = 30,968.74

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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.