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Finding the Fourth Proportional to 2,621.24, 3,930.94 and 865.87

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Solution

The fourth proportional to 2,621.24, 3,930.94 and 865.87 is: 1,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.24 : 3,930.94 = 865.87 : x
  2. Step 2: Convert to fraction form
    2,621.24/3,930.94 = 865.87/x
  3. Step 3: Cross multiply
    2,621.24x = 3,930.94 × 865.87
  4. Step 4: Simplify right side
    2,621.24x = 3,403,683.02
  5. Step 5: Solve for x
    x = 3,403,683.02/2,621.24
  6. Step 6: Final answer
    x = 1,298.50

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1.5x scale

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.