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Finding the Fourth Proportional to 2,077.61, 3,117.77 and 779.07

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Solution

The fourth proportional to 2,077.61, 3,117.77 and 779.07 is: 1,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.61 : 3,117.77 = 779.07 : x
  2. Step 2: Convert to fraction form
    2,077.61/3,117.77 = 779.07/x
  3. Step 3: Cross multiply
    2,077.61x = 3,117.77 × 779.07
  4. Step 4: Simplify right side
    2,077.61x = 2,428,957.18
  5. Step 5: Solve for x
    x = 2,428,957.18/2,077.61
  6. Step 6: Final answer
    x = 1,169.11

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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.