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Finding the Fourth Proportional to 1,876.19, 2,813.47 and 721.13

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Solution

The fourth proportional to 1,876.19, 2,813.47 and 721.13 is: 1,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.19 : 2,813.47 = 721.13 : x
  2. Step 2: Convert to fraction form
    1,876.19/2,813.47 = 721.13/x
  3. Step 3: Cross multiply
    1,876.19x = 2,813.47 × 721.13
  4. Step 4: Simplify right side
    1,876.19x = 2,028,861.75
  5. Step 5: Solve for x
    x = 2,028,861.75/1,876.19
  6. Step 6: Final answer
    x = 1,081.38

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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.