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Finding the Fourth Proportional to 1,871.62, 2,806.74 and 621.99

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Solution

The fourth proportional to 1,871.62, 2,806.74 and 621.99 is: 932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.62 : 2,806.74 = 621.99 : x
  2. Step 2: Convert to fraction form
    1,871.62/2,806.74 = 621.99/x
  3. Step 3: Cross multiply
    1,871.62x = 2,806.74 × 621.99
  4. Step 4: Simplify right side
    1,871.62x = 1,745,764.21
  5. Step 5: Solve for x
    x = 1,745,764.21/1,871.62
  6. Step 6: Final answer
    x = 932.76

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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.