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Finding the Fourth Proportional to 2,794.65, 3,856.59 and 1,615.70

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Solution

The fourth proportional to 2,794.65, 3,856.59 and 1,615.70 is: 2,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.65 : 3,856.59 = 1,615.70 : x
  2. Step 2: Convert to fraction form
    2,794.65/3,856.59 = 1,615.70/x
  3. Step 3: Cross multiply
    2,794.65x = 3,856.59 × 1,615.70
  4. Step 4: Simplify right side
    2,794.65x = 6,231,073.18
  5. Step 5: Solve for x
    x = 6,231,073.18/2,794.65
  6. Step 6: Final answer
    x = 2,229.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.