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Finding the Fourth Proportional to 2,292, 3,434.16 and 2,012.32

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Solution

The fourth proportional to 2,292, 3,434.16 and 2,012.32 is: 3,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292 : 3,434.16 = 2,012.32 : x
  2. Step 2: Convert to fraction form
    2,292/3,434.16 = 2,012.32/x
  3. Step 3: Cross multiply
    2,292x = 3,434.16 × 2,012.32
  4. Step 4: Simplify right side
    2,292x = 6,910,628.85
  5. Step 5: Solve for x
    x = 6,910,628.85/2,292
  6. Step 6: Final answer
    x = 3,015.11

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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.