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Finding the Fourth Proportional to 37,454, 51,686.76 and 20,687.60

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Solution

The fourth proportional to 37,454, 51,686.76 and 20,687.60 is: 28,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,454 : 51,686.76 = 20,687.60 : x
  2. Step 2: Convert to fraction form
    37,454/51,686.76 = 20,687.60/x
  3. Step 3: Cross multiply
    37,454x = 51,686.76 × 20,687.60
  4. Step 4: Simplify right side
    37,454x = 1,069,275,016.18
  5. Step 5: Solve for x
    x = 1,069,275,016.18/37,454
  6. Step 6: Final answer
    x = 28,549.02

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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.