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Finding the Fourth Proportional to 37,915.20, 56,937.60 and 20,419.20

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Solution

The fourth proportional to 37,915.20, 56,937.60 and 20,419.20 is: 30,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915.20 : 56,937.60 = 20,419.20 : x
  2. Step 2: Convert to fraction form
    37,915.20/56,937.60 = 20,419.20/x
  3. Step 3: Cross multiply
    37,915.20x = 56,937.60 × 20,419.20
  4. Step 4: Simplify right side
    37,915.20x = 1,162,620,241.92
  5. Step 5: Solve for x
    x = 1,162,620,241.92/37,915.20
  6. Step 6: Final answer
    x = 30,663.70

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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.