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Finding the Fourth Proportional to 2,865.42, 3,954.68 and 2,071.32

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Solution

The fourth proportional to 2,865.42, 3,954.68 and 2,071.32 is: 2,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.42 : 3,954.68 = 2,071.32 : x
  2. Step 2: Convert to fraction form
    2,865.42/3,954.68 = 2,071.32/x
  3. Step 3: Cross multiply
    2,865.42x = 3,954.68 × 2,071.32
  4. Step 4: Simplify right side
    2,865.42x = 8,191,407.78
  5. Step 5: Solve for x
    x = 8,191,407.78/2,865.42
  6. Step 6: Final answer
    x = 2,858.71

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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.