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Finding the Fourth Proportional to 4,498, 6,750.48 and 3,121

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Solution

The fourth proportional to 4,498, 6,750.48 and 3,121 is: 4,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498 : 6,750.48 = 3,121 : x
  2. Step 2: Convert to fraction form
    4,498/6,750.48 = 3,121/x
  3. Step 3: Cross multiply
    4,498x = 6,750.48 × 3,121
  4. Step 4: Simplify right side
    4,498x = 21,068,248.08
  5. Step 5: Solve for x
    x = 21,068,248.08/4,498
  6. Step 6: Final answer
    x = 4,683.91

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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.