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Finding the Fourth Proportional to 2,992.12, 4,129.12 and 1,665.76

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Solution

The fourth proportional to 2,992.12, 4,129.12 and 1,665.76 is: 2,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.12 : 4,129.12 = 1,665.76 : x
  2. Step 2: Convert to fraction form
    2,992.12/4,129.12 = 1,665.76/x
  3. Step 3: Cross multiply
    2,992.12x = 4,129.12 × 1,665.76
  4. Step 4: Simplify right side
    2,992.12x = 6,878,122.93
  5. Step 5: Solve for x
    x = 6,878,122.93/2,992.12
  6. Step 6: Final answer
    x = 2,298.75

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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.