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Finding the Fourth Proportional to 1,876.16, 2,813.71 and 779.17

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Solution

The fourth proportional to 1,876.16, 2,813.71 and 779.17 is: 1,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.16 : 2,813.71 = 779.17 : x
  2. Step 2: Convert to fraction form
    1,876.16/2,813.71 = 779.17/x
  3. Step 3: Cross multiply
    1,876.16x = 2,813.71 × 779.17
  4. Step 4: Simplify right side
    1,876.16x = 2,192,340.46
  5. Step 5: Solve for x
    x = 2,192,340.46/1,876.16
  6. Step 6: Final answer
    x = 1,168.53

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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.