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Finding the Fourth Proportional to 3,098.80, 4,642.80 and 2,612.80

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Solution

The fourth proportional to 3,098.80, 4,642.80 and 2,612.80 is: 3,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.80 : 4,642.80 = 2,612.80 : x
  2. Step 2: Convert to fraction form
    3,098.80/4,642.80 = 2,612.80/x
  3. Step 3: Cross multiply
    3,098.80x = 4,642.80 × 2,612.80
  4. Step 4: Simplify right side
    3,098.80x = 12,130,707.84
  5. Step 5: Solve for x
    x = 12,130,707.84/3,098.80
  6. Step 6: Final answer
    x = 3,914.65

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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.