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Finding the Fourth Proportional to 2,914, 4,371.80 and 862

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Solution

The fourth proportional to 2,914, 4,371.80 and 862 is: 1,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,371.80 = 862 : x
  2. Step 2: Convert to fraction form
    2,914/4,371.80 = 862/x
  3. Step 3: Cross multiply
    2,914x = 4,371.80 × 862
  4. Step 4: Simplify right side
    2,914x = 3,768,491.60
  5. Step 5: Solve for x
    x = 3,768,491.60/2,914
  6. Step 6: Final answer
    x = 1,293.24

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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.