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Finding the Fourth Proportional to 1,876.95, 2,816.66 and 781.31

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Solution

The fourth proportional to 1,876.95, 2,816.66 and 781.31 is: 1,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.95 : 2,816.66 = 781.31 : x
  2. Step 2: Convert to fraction form
    1,876.95/2,816.66 = 781.31/x
  3. Step 3: Cross multiply
    1,876.95x = 2,816.66 × 781.31
  4. Step 4: Simplify right side
    1,876.95x = 2,200,693.62
  5. Step 5: Solve for x
    x = 2,200,693.62/1,876.95
  6. Step 6: Final answer
    x = 1,172.48

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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.