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Finding the Fourth Proportional to 5,717.76, 8,579.52 and 4,191.36

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Solution

The fourth proportional to 5,717.76, 8,579.52 and 4,191.36 is: 6,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.76 : 8,579.52 = 4,191.36 : x
  2. Step 2: Convert to fraction form
    5,717.76/8,579.52 = 4,191.36/x
  3. Step 3: Cross multiply
    5,717.76x = 8,579.52 × 4,191.36
  4. Step 4: Simplify right side
    5,717.76x = 35,959,856.95
  5. Step 5: Solve for x
    x = 35,959,856.95/5,717.76
  6. Step 6: Final answer
    x = 6,289.15

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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.