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Finding the Fourth Proportional to 3,145, 4,337.12 and 2,293.48

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Solution

The fourth proportional to 3,145, 4,337.12 and 2,293.48 is: 3,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145 : 4,337.12 = 2,293.48 : x
  2. Step 2: Convert to fraction form
    3,145/4,337.12 = 2,293.48/x
  3. Step 3: Cross multiply
    3,145x = 4,337.12 × 2,293.48
  4. Step 4: Simplify right side
    3,145x = 9,947,097.98
  5. Step 5: Solve for x
    x = 9,947,097.98/3,145
  6. Step 6: Final answer
    x = 3,162.83

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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.