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Finding the Fourth Proportional to 1,617.92, 2,235.84 and 1,306.88

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Solution

The fourth proportional to 1,617.92, 2,235.84 and 1,306.88 is: 1,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.92 : 2,235.84 = 1,306.88 : x
  2. Step 2: Convert to fraction form
    1,617.92/2,235.84 = 1,306.88/x
  3. Step 3: Cross multiply
    1,617.92x = 2,235.84 × 1,306.88
  4. Step 4: Simplify right side
    1,617.92x = 2,921,974.58
  5. Step 5: Solve for x
    x = 2,921,974.58/1,617.92
  6. Step 6: Final answer
    x = 1,806.01

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1.5x scale

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.