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Finding the Fourth Proportional to 37,215, 51,357.60 and 20,448

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Solution

The fourth proportional to 37,215, 51,357.60 and 20,448 is: 28,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,215 : 51,357.60 = 20,448 : x
  2. Step 2: Convert to fraction form
    37,215/51,357.60 = 20,448/x
  3. Step 3: Cross multiply
    37,215x = 51,357.60 × 20,448
  4. Step 4: Simplify right side
    37,215x = 1,050,160,204.80
  5. Step 5: Solve for x
    x = 1,050,160,204.80/37,215
  6. Step 6: Final answer
    x = 28,218.73

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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.