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Finding the Fourth Proportional to 2,620.48, 3,930.80 and 865.52

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Solution

The fourth proportional to 2,620.48, 3,930.80 and 865.52 is: 1,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.48 : 3,930.80 = 865.52 : x
  2. Step 2: Convert to fraction form
    2,620.48/3,930.80 = 865.52/x
  3. Step 3: Cross multiply
    2,620.48x = 3,930.80 × 865.52
  4. Step 4: Simplify right side
    2,620.48x = 3,402,186.02
  5. Step 5: Solve for x
    x = 3,402,186.02/2,620.48
  6. Step 6: Final answer
    x = 1,298.31

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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.