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Finding the Fourth Proportional to 5,581.64, 8,357.88 and 3,929.24

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Solution

The fourth proportional to 5,581.64, 8,357.88 and 3,929.24 is: 5,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.64 : 8,357.88 = 3,929.24 : x
  2. Step 2: Convert to fraction form
    5,581.64/8,357.88 = 3,929.24/x
  3. Step 3: Cross multiply
    5,581.64x = 8,357.88 × 3,929.24
  4. Step 4: Simplify right side
    5,581.64x = 32,840,116.41
  5. Step 5: Solve for x
    x = 32,840,116.41/5,581.64
  6. Step 6: Final answer
    x = 5,883.60

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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.