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Finding the Fourth Proportional to 2,726.79, 4,090.86 and 778.98

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Solution

The fourth proportional to 2,726.79, 4,090.86 and 778.98 is: 1,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.79 : 4,090.86 = 778.98 : x
  2. Step 2: Convert to fraction form
    2,726.79/4,090.86 = 778.98/x
  3. Step 3: Cross multiply
    2,726.79x = 4,090.86 × 778.98
  4. Step 4: Simplify right side
    2,726.79x = 3,186,698.12
  5. Step 5: Solve for x
    x = 3,186,698.12/2,726.79
  6. Step 6: Final answer
    x = 1,168.66

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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.