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Finding the Fourth Proportional to 2,071.80, 2,859.17 and 1,187.87

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Solution

The fourth proportional to 2,071.80, 2,859.17 and 1,187.87 is: 1,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.80 : 2,859.17 = 1,187.87 : x
  2. Step 2: Convert to fraction form
    2,071.80/2,859.17 = 1,187.87/x
  3. Step 3: Cross multiply
    2,071.80x = 2,859.17 × 1,187.87
  4. Step 4: Simplify right side
    2,071.80x = 3,396,302.03
  5. Step 5: Solve for x
    x = 3,396,302.03/2,071.80
  6. Step 6: Final answer
    x = 1,639.30

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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.