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Finding the Fourth Proportional to 2,620.63, 3,930.96 and 975.25

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Solution

The fourth proportional to 2,620.63, 3,930.96 and 975.25 is: 1,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.63 : 3,930.96 = 975.25 : x
  2. Step 2: Convert to fraction form
    2,620.63/3,930.96 = 975.25/x
  3. Step 3: Cross multiply
    2,620.63x = 3,930.96 × 975.25
  4. Step 4: Simplify right side
    2,620.63x = 3,833,668.74
  5. Step 5: Solve for x
    x = 3,833,668.74/2,620.63
  6. Step 6: Final answer
    x = 1,462.88

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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.