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Finding the Fourth Proportional to 2,077.72, 3,117.99 and 844.90

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Solution

The fourth proportional to 2,077.72, 3,117.99 and 844.90 is: 1,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.72 : 3,117.99 = 844.90 : x
  2. Step 2: Convert to fraction form
    2,077.72/3,117.99 = 844.90/x
  3. Step 3: Cross multiply
    2,077.72x = 3,117.99 × 844.90
  4. Step 4: Simplify right side
    2,077.72x = 2,634,385.12
  5. Step 5: Solve for x
    x = 2,634,385.12/2,077.72
  6. Step 6: Final answer
    x = 1,267.92

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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.