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Finding the Fourth Proportional to 2,862.66, 4,293.78 and 914.34

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Solution

The fourth proportional to 2,862.66, 4,293.78 and 914.34 is: 1,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.66 : 4,293.78 = 914.34 : x
  2. Step 2: Convert to fraction form
    2,862.66/4,293.78 = 914.34/x
  3. Step 3: Cross multiply
    2,862.66x = 4,293.78 × 914.34
  4. Step 4: Simplify right side
    2,862.66x = 3,925,974.81
  5. Step 5: Solve for x
    x = 3,925,974.81/2,862.66
  6. Step 6: Final answer
    x = 1,371.44

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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.