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Finding the Fourth Proportional to 37,019.60, 51,086 and 20,251.52

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Solution

The fourth proportional to 37,019.60, 51,086 and 20,251.52 is: 27,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,019.60 : 51,086 = 20,251.52 : x
  2. Step 2: Convert to fraction form
    37,019.60/51,086 = 20,251.52/x
  3. Step 3: Cross multiply
    37,019.60x = 51,086 × 20,251.52
  4. Step 4: Simplify right side
    37,019.60x = 1,034,569,150.72
  5. Step 5: Solve for x
    x = 1,034,569,150.72/37,019.60
  6. Step 6: Final answer
    x = 27,946.52

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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.