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Finding the Fourth Proportional to 2,293.84, 3,165.42 and 1,245.88

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Solution

The fourth proportional to 2,293.84, 3,165.42 and 1,245.88 is: 1,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.84 : 3,165.42 = 1,245.88 : x
  2. Step 2: Convert to fraction form
    2,293.84/3,165.42 = 1,245.88/x
  3. Step 3: Cross multiply
    2,293.84x = 3,165.42 × 1,245.88
  4. Step 4: Simplify right side
    2,293.84x = 3,943,733.47
  5. Step 5: Solve for x
    x = 3,943,733.47/2,293.84
  6. Step 6: Final answer
    x = 1,719.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.