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Finding the Fourth Proportional to 2,123.68, 3,184.97 and 662.08

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Solution

The fourth proportional to 2,123.68, 3,184.97 and 662.08 is: 992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.68 : 3,184.97 = 662.08 : x
  2. Step 2: Convert to fraction form
    2,123.68/3,184.97 = 662.08/x
  3. Step 3: Cross multiply
    2,123.68x = 3,184.97 × 662.08
  4. Step 4: Simplify right side
    2,123.68x = 2,108,698.63
  5. Step 5: Solve for x
    x = 2,108,698.63/2,123.68
  6. Step 6: Final answer
    x = 992.95

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1.5x scale

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.