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Finding the Fourth Proportional to 1,871.15, 2,806.97 and 638.23

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Solution

The fourth proportional to 1,871.15, 2,806.97 and 638.23 is: 957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.15 : 2,806.97 = 638.23 : x
  2. Step 2: Convert to fraction form
    1,871.15/2,806.97 = 638.23/x
  3. Step 3: Cross multiply
    1,871.15x = 2,806.97 × 638.23
  4. Step 4: Simplify right side
    1,871.15x = 1,791,492.46
  5. Step 5: Solve for x
    x = 1,791,492.46/1,871.15
  6. Step 6: Final answer
    x = 957.43

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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.