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Finding the Fourth Proportional to 3,246.84, 4,869.90 and 938.52

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Solution

The fourth proportional to 3,246.84, 4,869.90 and 938.52 is: 1,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.84 : 4,869.90 = 938.52 : x
  2. Step 2: Convert to fraction form
    3,246.84/4,869.90 = 938.52/x
  3. Step 3: Cross multiply
    3,246.84x = 4,869.90 × 938.52
  4. Step 4: Simplify right side
    3,246.84x = 4,570,498.55
  5. Step 5: Solve for x
    x = 4,570,498.55/3,246.84
  6. Step 6: Final answer
    x = 1,407.68

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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.