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Finding the Fourth Proportional to 2,992.91, 4,129.70 and 1,734.12

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Solution

The fourth proportional to 2,992.91, 4,129.70 and 1,734.12 is: 2,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.91 : 4,129.70 = 1,734.12 : x
  2. Step 2: Convert to fraction form
    2,992.91/4,129.70 = 1,734.12/x
  3. Step 3: Cross multiply
    2,992.91x = 4,129.70 × 1,734.12
  4. Step 4: Simplify right side
    2,992.91x = 7,161,386.69
  5. Step 5: Solve for x
    x = 7,161,386.69/2,992.91
  6. Step 6: Final answer
    x = 2,392.79

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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.