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Finding the Fourth Proportional to 2,726.74, 4,090.08 and 778.95

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Solution

The fourth proportional to 2,726.74, 4,090.08 and 778.95 is: 1,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.74 : 4,090.08 = 778.95 : x
  2. Step 2: Convert to fraction form
    2,726.74/4,090.08 = 778.95/x
  3. Step 3: Cross multiply
    2,726.74x = 4,090.08 × 778.95
  4. Step 4: Simplify right side
    2,726.74x = 3,185,967.82
  5. Step 5: Solve for x
    x = 3,185,967.82/2,726.74
  6. Step 6: Final answer
    x = 1,168.42

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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.