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Finding the Fourth Proportional to 2,926.64, 4,039.16 and 1,650.78

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Solution

The fourth proportional to 2,926.64, 4,039.16 and 1,650.78 is: 2,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.64 : 4,039.16 = 1,650.78 : x
  2. Step 2: Convert to fraction form
    2,926.64/4,039.16 = 1,650.78/x
  3. Step 3: Cross multiply
    2,926.64x = 4,039.16 × 1,650.78
  4. Step 4: Simplify right side
    2,926.64x = 6,667,781.11
  5. Step 5: Solve for x
    x = 6,667,781.11/2,926.64
  6. Step 6: Final answer
    x = 2,278.30

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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.