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Finding the Fourth Proportional to 2,660.72, 3,992.09 and 1,017.63

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Solution

The fourth proportional to 2,660.72, 3,992.09 and 1,017.63 is: 1,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.72 : 3,992.09 = 1,017.63 : x
  2. Step 2: Convert to fraction form
    2,660.72/3,992.09 = 1,017.63/x
  3. Step 3: Cross multiply
    2,660.72x = 3,992.09 × 1,017.63
  4. Step 4: Simplify right side
    2,660.72x = 4,062,465.46
  5. Step 5: Solve for x
    x = 4,062,465.46/2,660.72
  6. Step 6: Final answer
    x = 1,526.83

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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.