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Finding the Fourth Proportional to 5,487.71, 8,231.56 and 1,978.18

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Solution

The fourth proportional to 5,487.71, 8,231.56 and 1,978.18 is: 2,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.71 : 8,231.56 = 1,978.18 : x
  2. Step 2: Convert to fraction form
    5,487.71/8,231.56 = 1,978.18/x
  3. Step 3: Cross multiply
    5,487.71x = 8,231.56 × 1,978.18
  4. Step 4: Simplify right side
    5,487.71x = 16,283,481.84
  5. Step 5: Solve for x
    x = 16,283,481.84/5,487.71
  6. Step 6: Final answer
    x = 2,967.27

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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.