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Finding the Fourth Proportional to 2,726.59, 4,089.89 and 779.08

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Solution

The fourth proportional to 2,726.59, 4,089.89 and 779.08 is: 1,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.59 : 4,089.89 = 779.08 : x
  2. Step 2: Convert to fraction form
    2,726.59/4,089.89 = 779.08/x
  3. Step 3: Cross multiply
    2,726.59x = 4,089.89 × 779.08
  4. Step 4: Simplify right side
    2,726.59x = 3,186,347.61
  5. Step 5: Solve for x
    x = 3,186,347.61/2,726.59
  6. Step 6: Final answer
    x = 1,168.62

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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.