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Finding the Fourth Proportional to 4,327, 6,489.42 and 1,206.88

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Solution

The fourth proportional to 4,327, 6,489.42 and 1,206.88 is: 1,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327 : 6,489.42 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    4,327/6,489.42 = 1,206.88/x
  3. Step 3: Cross multiply
    4,327x = 6,489.42 × 1,206.88
  4. Step 4: Simplify right side
    4,327x = 7,831,951.21
  5. Step 5: Solve for x
    x = 7,831,951.21/4,327
  6. Step 6: Final answer
    x = 1,810.02

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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.