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Finding the Fourth Proportional to 1,990.54, 2,981.52 and 949

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Solution

The fourth proportional to 1,990.54, 2,981.52 and 949 is: 1,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.54 : 2,981.52 = 949 : x
  2. Step 2: Convert to fraction form
    1,990.54/2,981.52 = 949/x
  3. Step 3: Cross multiply
    1,990.54x = 2,981.52 × 949
  4. Step 4: Simplify right side
    1,990.54x = 2,829,462.48
  5. Step 5: Solve for x
    x = 2,829,462.48/1,990.54
  6. Step 6: Final answer
    x = 1,421.45

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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.