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Finding the Fourth Proportional to 2,842.40, 4,263.60 and 2,534.60

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Solution

The fourth proportional to 2,842.40, 4,263.60 and 2,534.60 is: 3,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.40 : 4,263.60 = 2,534.60 : x
  2. Step 2: Convert to fraction form
    2,842.40/4,263.60 = 2,534.60/x
  3. Step 3: Cross multiply
    2,842.40x = 4,263.60 × 2,534.60
  4. Step 4: Simplify right side
    2,842.40x = 10,806,520.56
  5. Step 5: Solve for x
    x = 10,806,520.56/2,842.40
  6. Step 6: Final answer
    x = 3,801.90

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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.