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Finding the Fourth Proportional to 5,989.68, 8,972.60 and 3,646.80

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Solution

The fourth proportional to 5,989.68, 8,972.60 and 3,646.80 is: 5,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.68 : 8,972.60 = 3,646.80 : x
  2. Step 2: Convert to fraction form
    5,989.68/8,972.60 = 3,646.80/x
  3. Step 3: Cross multiply
    5,989.68x = 8,972.60 × 3,646.80
  4. Step 4: Simplify right side
    5,989.68x = 32,721,277.68
  5. Step 5: Solve for x
    x = 32,721,277.68/5,989.68
  6. Step 6: Final answer
    x = 5,462.94

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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.