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Finding the Fourth Proportional to 1,876.19, 2,815.38 and 836.28

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Solution

The fourth proportional to 1,876.19, 2,815.38 and 836.28 is: 1,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.19 : 2,815.38 = 836.28 : x
  2. Step 2: Convert to fraction form
    1,876.19/2,815.38 = 836.28/x
  3. Step 3: Cross multiply
    1,876.19x = 2,815.38 × 836.28
  4. Step 4: Simplify right side
    1,876.19x = 2,354,445.99
  5. Step 5: Solve for x
    x = 2,354,445.99/1,876.19
  6. Step 6: Final answer
    x = 1,254.91

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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.