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Finding the Fourth Proportional to 37,877.70, 52,320.70 and 30,734.32

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Solution

The fourth proportional to 37,877.70, 52,320.70 and 30,734.32 is: 42,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,877.70 : 52,320.70 = 30,734.32 : x
  2. Step 2: Convert to fraction form
    37,877.70/52,320.70 = 30,734.32/x
  3. Step 3: Cross multiply
    37,877.70x = 52,320.70 × 30,734.32
  4. Step 4: Simplify right side
    37,877.70x = 1,608,041,136.42
  5. Step 5: Solve for x
    x = 1,608,041,136.42/37,877.70
  6. Step 6: Final answer
    x = 42,453.51

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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.