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Finding the Fourth Proportional to 1,871.46, 2,806.74 and 638.82

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Solution

The fourth proportional to 1,871.46, 2,806.74 and 638.82 is: 958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.46 : 2,806.74 = 638.82 : x
  2. Step 2: Convert to fraction form
    1,871.46/2,806.74 = 638.82/x
  3. Step 3: Cross multiply
    1,871.46x = 2,806.74 × 638.82
  4. Step 4: Simplify right side
    1,871.46x = 1,793,001.65
  5. Step 5: Solve for x
    x = 1,793,001.65/1,871.46
  6. Step 6: Final answer
    x = 958.08

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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.