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Finding the Fourth Proportional to 7,246.60, 10,869.03 and 1,982

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Solution

The fourth proportional to 7,246.60, 10,869.03 and 1,982 is: 2,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.60 : 10,869.03 = 1,982 : x
  2. Step 2: Convert to fraction form
    7,246.60/10,869.03 = 1,982/x
  3. Step 3: Cross multiply
    7,246.60x = 10,869.03 × 1,982
  4. Step 4: Simplify right side
    7,246.60x = 21,542,417.46
  5. Step 5: Solve for x
    x = 21,542,417.46/7,246.60
  6. Step 6: Final answer
    x = 2,972.76

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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.