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Finding the Fourth Proportional to 37,209.60, 55,823.40 and 10,915.20

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Solution

The fourth proportional to 37,209.60, 55,823.40 and 10,915.20 is: 16,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209.60 : 55,823.40 = 10,915.20 : x
  2. Step 2: Convert to fraction form
    37,209.60/55,823.40 = 10,915.20/x
  3. Step 3: Cross multiply
    37,209.60x = 55,823.40 × 10,915.20
  4. Step 4: Simplify right side
    37,209.60x = 609,323,575.68
  5. Step 5: Solve for x
    x = 609,323,575.68/37,209.60
  6. Step 6: Final answer
    x = 16,375.44

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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.