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Finding the Fourth Proportional to 2,077.47, 3,117.42 and 778.95

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Solution

The fourth proportional to 2,077.47, 3,117.42 and 778.95 is: 1,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.47 : 3,117.42 = 778.95 : x
  2. Step 2: Convert to fraction form
    2,077.47/3,117.42 = 778.95/x
  3. Step 3: Cross multiply
    2,077.47x = 3,117.42 × 778.95
  4. Step 4: Simplify right side
    2,077.47x = 2,428,314.31
  5. Step 5: Solve for x
    x = 2,428,314.31/2,077.47
  6. Step 6: Final answer
    x = 1,168.88

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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.