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Finding the Fourth Proportional to 2,531.20, 3,796.26 and 970.68

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Solution

The fourth proportional to 2,531.20, 3,796.26 and 970.68 is: 1,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.20 : 3,796.26 = 970.68 : x
  2. Step 2: Convert to fraction form
    2,531.20/3,796.26 = 970.68/x
  3. Step 3: Cross multiply
    2,531.20x = 3,796.26 × 970.68
  4. Step 4: Simplify right side
    2,531.20x = 3,684,953.66
  5. Step 5: Solve for x
    x = 3,684,953.66/2,531.20
  6. Step 6: Final answer
    x = 1,455.81

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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.