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Finding the Fourth Proportional to 2,081, 2,871.78 and 1,149.64

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Solution

The fourth proportional to 2,081, 2,871.78 and 1,149.64 is: 1,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081 : 2,871.78 = 1,149.64 : x
  2. Step 2: Convert to fraction form
    2,081/2,871.78 = 1,149.64/x
  3. Step 3: Cross multiply
    2,081x = 2,871.78 × 1,149.64
  4. Step 4: Simplify right side
    2,081x = 3,301,513.16
  5. Step 5: Solve for x
    x = 3,301,513.16/2,081
  6. Step 6: Final answer
    x = 1,586.50

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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.