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Finding the Fourth Proportional to 2,895.12, 4,342.50 and 843.12

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Solution

The fourth proportional to 2,895.12, 4,342.50 and 843.12 is: 1,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.12 : 4,342.50 = 843.12 : x
  2. Step 2: Convert to fraction form
    2,895.12/4,342.50 = 843.12/x
  3. Step 3: Cross multiply
    2,895.12x = 4,342.50 × 843.12
  4. Step 4: Simplify right side
    2,895.12x = 3,661,248.60
  5. Step 5: Solve for x
    x = 3,661,248.60/2,895.12
  6. Step 6: Final answer
    x = 1,264.63

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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.