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Finding the Fourth Proportional to 2,040.76, 3,062.50 and 1,310.86

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Solution

The fourth proportional to 2,040.76, 3,062.50 and 1,310.86 is: 1,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.76 : 3,062.50 = 1,310.86 : x
  2. Step 2: Convert to fraction form
    2,040.76/3,062.50 = 1,310.86/x
  3. Step 3: Cross multiply
    2,040.76x = 3,062.50 × 1,310.86
  4. Step 4: Simplify right side
    2,040.76x = 4,014,497.82
  5. Step 5: Solve for x
    x = 4,014,497.82/2,040.76
  6. Step 6: Final answer
    x = 1,967.16

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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.