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Finding the Fourth Proportional to 2,146.68, 3,217.56 and 990

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Solution

The fourth proportional to 2,146.68, 3,217.56 and 990 is: 1,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.68 : 3,217.56 = 990 : x
  2. Step 2: Convert to fraction form
    2,146.68/3,217.56 = 990/x
  3. Step 3: Cross multiply
    2,146.68x = 3,217.56 × 990
  4. Step 4: Simplify right side
    2,146.68x = 3,185,384.40
  5. Step 5: Solve for x
    x = 3,185,384.40/2,146.68
  6. Step 6: Final answer
    x = 1,483.87

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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.