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Finding the Fourth Proportional to 37,489.70, 51,736 and 20,493.98

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Solution

The fourth proportional to 37,489.70, 51,736 and 20,493.98 is: 28,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489.70 : 51,736 = 20,493.98 : x
  2. Step 2: Convert to fraction form
    37,489.70/51,736 = 20,493.98/x
  3. Step 3: Cross multiply
    37,489.70x = 51,736 × 20,493.98
  4. Step 4: Simplify right side
    37,489.70x = 1,060,276,549.28
  5. Step 5: Solve for x
    x = 1,060,276,549.28/37,489.70
  6. Step 6: Final answer
    x = 28,281.81

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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.