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Finding the Fourth Proportional to 2,871.14, 3,962.93 and 2,696.88

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Solution

The fourth proportional to 2,871.14, 3,962.93 and 2,696.88 is: 3,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.14 : 3,962.93 = 2,696.88 : x
  2. Step 2: Convert to fraction form
    2,871.14/3,962.93 = 2,696.88/x
  3. Step 3: Cross multiply
    2,871.14x = 3,962.93 × 2,696.88
  4. Step 4: Simplify right side
    2,871.14x = 10,687,533.17
  5. Step 5: Solve for x
    x = 10,687,533.17/2,871.14
  6. Step 6: Final answer
    x = 3,722.41

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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.