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Finding the Fourth Proportional to 2,894.12, 4,341 and 842.12

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Solution

The fourth proportional to 2,894.12, 4,341 and 842.12 is: 1,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.12 : 4,341 = 842.12 : x
  2. Step 2: Convert to fraction form
    2,894.12/4,341 = 842.12/x
  3. Step 3: Cross multiply
    2,894.12x = 4,341 × 842.12
  4. Step 4: Simplify right side
    2,894.12x = 3,655,642.92
  5. Step 5: Solve for x
    x = 3,655,642.92/2,894.12
  6. Step 6: Final answer
    x = 1,263.13

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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.