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Finding the Fourth Proportional to 1,461.87, 2,017.97 and 989.54

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Solution

The fourth proportional to 1,461.87, 2,017.97 and 989.54 is: 1,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.87 : 2,017.97 = 989.54 : x
  2. Step 2: Convert to fraction form
    1,461.87/2,017.97 = 989.54/x
  3. Step 3: Cross multiply
    1,461.87x = 2,017.97 × 989.54
  4. Step 4: Simplify right side
    1,461.87x = 1,996,847.00
  5. Step 5: Solve for x
    x = 1,996,847.00/1,461.87
  6. Step 6: Final answer
    x = 1,365.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.