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Finding the Fourth Proportional to 5,985.20, 8,959.84 and 3,637.96

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Solution

The fourth proportional to 5,985.20, 8,959.84 and 3,637.96 is: 5,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.20 : 8,959.84 = 3,637.96 : x
  2. Step 2: Convert to fraction form
    5,985.20/8,959.84 = 3,637.96/x
  3. Step 3: Cross multiply
    5,985.20x = 8,959.84 × 3,637.96
  4. Step 4: Simplify right side
    5,985.20x = 32,595,539.53
  5. Step 5: Solve for x
    x = 32,595,539.53/5,985.20
  6. Step 6: Final answer
    x = 5,446.02

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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.