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Finding the Fourth Proportional to 2,894.68, 4,348.95 and 1,856.72

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Solution

The fourth proportional to 2,894.68, 4,348.95 and 1,856.72 is: 2,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 4,348.95 = 1,856.72 : x
  2. Step 2: Convert to fraction form
    2,894.68/4,348.95 = 1,856.72/x
  3. Step 3: Cross multiply
    2,894.68x = 4,348.95 × 1,856.72
  4. Step 4: Simplify right side
    2,894.68x = 8,074,786.35
  5. Step 5: Solve for x
    x = 8,074,786.35/2,894.68
  6. Step 6: Final answer
    x = 2,789.53

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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.