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Finding the Fourth Proportional to 2,079.06, 3,119.91 and 983.49

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Solution

The fourth proportional to 2,079.06, 3,119.91 and 983.49 is: 1,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.06 : 3,119.91 = 983.49 : x
  2. Step 2: Convert to fraction form
    2,079.06/3,119.91 = 983.49/x
  3. Step 3: Cross multiply
    2,079.06x = 3,119.91 × 983.49
  4. Step 4: Simplify right side
    2,079.06x = 3,068,400.29
  5. Step 5: Solve for x
    x = 3,068,400.29/2,079.06
  6. Step 6: Final answer
    x = 1,475.86

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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.