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Finding the Fourth Proportional to 1,876.83, 2,816.28 and 766.85

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Solution

The fourth proportional to 1,876.83, 2,816.28 and 766.85 is: 1,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.83 : 2,816.28 = 766.85 : x
  2. Step 2: Convert to fraction form
    1,876.83/2,816.28 = 766.85/x
  3. Step 3: Cross multiply
    1,876.83x = 2,816.28 × 766.85
  4. Step 4: Simplify right side
    1,876.83x = 2,159,674.18
  5. Step 5: Solve for x
    x = 2,159,674.18/1,876.83
  6. Step 6: Final answer
    x = 1,150.70

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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.