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Finding the Fourth Proportional to 37,654.70, 51,964.02 and 20,658.64

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Solution

The fourth proportional to 37,654.70, 51,964.02 and 20,658.64 is: 28,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.70 : 51,964.02 = 20,658.64 : x
  2. Step 2: Convert to fraction form
    37,654.70/51,964.02 = 20,658.64/x
  3. Step 3: Cross multiply
    37,654.70x = 51,964.02 × 20,658.64
  4. Step 4: Simplify right side
    37,654.70x = 1,073,505,686.97
  5. Step 5: Solve for x
    x = 1,073,505,686.97/37,654.70
  6. Step 6: Final answer
    x = 28,509.21

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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.