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Finding the Fourth Proportional to 2,892.68, 3,992.10 and 1,650.68

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Solution

The fourth proportional to 2,892.68, 3,992.10 and 1,650.68 is: 2,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.68 : 3,992.10 = 1,650.68 : x
  2. Step 2: Convert to fraction form
    2,892.68/3,992.10 = 1,650.68/x
  3. Step 3: Cross multiply
    2,892.68x = 3,992.10 × 1,650.68
  4. Step 4: Simplify right side
    2,892.68x = 6,589,679.63
  5. Step 5: Solve for x
    x = 6,589,679.63/2,892.68
  6. Step 6: Final answer
    x = 2,278.05

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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.