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Finding the Fourth Proportional to 3,078.94, 4,610.18 and 1,615.02

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Solution

The fourth proportional to 3,078.94, 4,610.18 and 1,615.02 is: 2,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.94 : 4,610.18 = 1,615.02 : x
  2. Step 2: Convert to fraction form
    3,078.94/4,610.18 = 1,615.02/x
  3. Step 3: Cross multiply
    3,078.94x = 4,610.18 × 1,615.02
  4. Step 4: Simplify right side
    3,078.94x = 7,445,532.90
  5. Step 5: Solve for x
    x = 7,445,532.90/3,078.94
  6. Step 6: Final answer
    x = 2,418.21

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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.