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Finding the Fourth Proportional to 2,360.31, 3,540.88 and 972.87

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Solution

The fourth proportional to 2,360.31, 3,540.88 and 972.87 is: 1,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.31 : 3,540.88 = 972.87 : x
  2. Step 2: Convert to fraction form
    2,360.31/3,540.88 = 972.87/x
  3. Step 3: Cross multiply
    2,360.31x = 3,540.88 × 972.87
  4. Step 4: Simplify right side
    2,360.31x = 3,444,815.93
  5. Step 5: Solve for x
    x = 3,444,815.93/2,360.31
  6. Step 6: Final answer
    x = 1,459.48

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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.