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Finding the Fourth Proportional to 6,630, 9,938.40 and 2,737.68

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Solution

The fourth proportional to 6,630, 9,938.40 and 2,737.68 is: 4,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630 : 9,938.40 = 2,737.68 : x
  2. Step 2: Convert to fraction form
    6,630/9,938.40 = 2,737.68/x
  3. Step 3: Cross multiply
    6,630x = 9,938.40 × 2,737.68
  4. Step 4: Simplify right side
    6,630x = 27,208,158.91
  5. Step 5: Solve for x
    x = 27,208,158.91/6,630
  6. Step 6: Final answer
    x = 4,103.79

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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.