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Finding the Fourth Proportional to 2,666.96, 3,997.74 and 1,278.26

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Solution

The fourth proportional to 2,666.96, 3,997.74 and 1,278.26 is: 1,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.96 : 3,997.74 = 1,278.26 : x
  2. Step 2: Convert to fraction form
    2,666.96/3,997.74 = 1,278.26/x
  3. Step 3: Cross multiply
    2,666.96x = 3,997.74 × 1,278.26
  4. Step 4: Simplify right side
    2,666.96x = 5,110,151.13
  5. Step 5: Solve for x
    x = 5,110,151.13/2,666.96
  6. Step 6: Final answer
    x = 1,916.10

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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.