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Finding the Fourth Proportional to 5,881.76, 8,817.52 and 3,288.48

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Solution

The fourth proportional to 5,881.76, 8,817.52 and 3,288.48 is: 4,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.76 : 8,817.52 = 3,288.48 : x
  2. Step 2: Convert to fraction form
    5,881.76/8,817.52 = 3,288.48/x
  3. Step 3: Cross multiply
    5,881.76x = 8,817.52 × 3,288.48
  4. Step 4: Simplify right side
    5,881.76x = 28,996,238.17
  5. Step 5: Solve for x
    x = 28,996,238.17/5,881.76
  6. Step 6: Final answer
    x = 4,929.86

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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.