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Finding the Fourth Proportional to 2,617.60, 3,926.40 and 2,034.40

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Solution

The fourth proportional to 2,617.60, 3,926.40 and 2,034.40 is: 3,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.60 : 3,926.40 = 2,034.40 : x
  2. Step 2: Convert to fraction form
    2,617.60/3,926.40 = 2,034.40/x
  3. Step 3: Cross multiply
    2,617.60x = 3,926.40 × 2,034.40
  4. Step 4: Simplify right side
    2,617.60x = 7,987,868.16
  5. Step 5: Solve for x
    x = 7,987,868.16/2,617.60
  6. Step 6: Final answer
    x = 3,051.60

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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.