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Finding the Fourth Proportional to 2,712.64, 4,071.12 and 1,069.60

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Solution

The fourth proportional to 2,712.64, 4,071.12 and 1,069.60 is: 1,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.64 : 4,071.12 = 1,069.60 : x
  2. Step 2: Convert to fraction form
    2,712.64/4,071.12 = 1,069.60/x
  3. Step 3: Cross multiply
    2,712.64x = 4,071.12 × 1,069.60
  4. Step 4: Simplify right side
    2,712.64x = 4,354,469.95
  5. Step 5: Solve for x
    x = 4,354,469.95/2,712.64
  6. Step 6: Final answer
    x = 1,605.25

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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.