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Finding the Fourth Proportional to 1,914.60, 2,871.12 and 681.72

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Solution

The fourth proportional to 1,914.60, 2,871.12 and 681.72 is: 1,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.60 : 2,871.12 = 681.72 : x
  2. Step 2: Convert to fraction form
    1,914.60/2,871.12 = 681.72/x
  3. Step 3: Cross multiply
    1,914.60x = 2,871.12 × 681.72
  4. Step 4: Simplify right side
    1,914.60x = 1,957,299.93
  5. Step 5: Solve for x
    x = 1,957,299.93/1,914.60
  6. Step 6: Final answer
    x = 1,022.30

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1.5x scale

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.