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Finding the Fourth Proportional to 2,312.82, 3,213.82 and 2,289.14

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Solution

The fourth proportional to 2,312.82, 3,213.82 and 2,289.14 is: 3,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.82 : 3,213.82 = 2,289.14 : x
  2. Step 2: Convert to fraction form
    2,312.82/3,213.82 = 2,289.14/x
  3. Step 3: Cross multiply
    2,312.82x = 3,213.82 × 2,289.14
  4. Step 4: Simplify right side
    2,312.82x = 7,356,872.47
  5. Step 5: Solve for x
    x = 7,356,872.47/2,312.82
  6. Step 6: Final answer
    x = 3,180.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.