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Finding the Fourth Proportional to 8,437.72, 12,654.80 and 3,873.80

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Solution

The fourth proportional to 8,437.72, 12,654.80 and 3,873.80 is: 5,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.72 : 12,654.80 = 3,873.80 : x
  2. Step 2: Convert to fraction form
    8,437.72/12,654.80 = 3,873.80/x
  3. Step 3: Cross multiply
    8,437.72x = 12,654.80 × 3,873.80
  4. Step 4: Simplify right side
    8,437.72x = 49,022,164.24
  5. Step 5: Solve for x
    x = 49,022,164.24/8,437.72
  6. Step 6: Final answer
    x = 5,809.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.