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Finding the Fourth Proportional to 6,639, 9,962.54 and 2,742.90

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Solution

The fourth proportional to 6,639, 9,962.54 and 2,742.90 is: 4,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639 : 9,962.54 = 2,742.90 : x
  2. Step 2: Convert to fraction form
    6,639/9,962.54 = 2,742.90/x
  3. Step 3: Cross multiply
    6,639x = 9,962.54 × 2,742.90
  4. Step 4: Simplify right side
    6,639x = 27,326,250.97
  5. Step 5: Solve for x
    x = 27,326,250.97/6,639
  6. Step 6: Final answer
    x = 4,116.02

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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.