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Finding the Fourth Proportional to 1,917.14, 2,876.31 and 877.10

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Solution

The fourth proportional to 1,917.14, 2,876.31 and 877.10 is: 1,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.14 : 2,876.31 = 877.10 : x
  2. Step 2: Convert to fraction form
    1,917.14/2,876.31 = 877.10/x
  3. Step 3: Cross multiply
    1,917.14x = 2,876.31 × 877.10
  4. Step 4: Simplify right side
    1,917.14x = 2,522,797.12
  5. Step 5: Solve for x
    x = 2,522,797.12/1,917.14
  6. Step 6: Final answer
    x = 1,315.92

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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.