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Finding the Fourth Proportional to 5,311.32, 7,978.50 and 4,491.24

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Solution

The fourth proportional to 5,311.32, 7,978.50 and 4,491.24 is: 6,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.32 : 7,978.50 = 4,491.24 : x
  2. Step 2: Convert to fraction form
    5,311.32/7,978.50 = 4,491.24/x
  3. Step 3: Cross multiply
    5,311.32x = 7,978.50 × 4,491.24
  4. Step 4: Simplify right side
    5,311.32x = 35,833,358.34
  5. Step 5: Solve for x
    x = 35,833,358.34/5,311.32
  6. Step 6: Final answer
    x = 6,746.60

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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.