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Finding the Fourth Proportional to 2,666.88, 3,678.44 and 2,446.56

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Solution

The fourth proportional to 2,666.88, 3,678.44 and 2,446.56 is: 3,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.88 : 3,678.44 = 2,446.56 : x
  2. Step 2: Convert to fraction form
    2,666.88/3,678.44 = 2,446.56/x
  3. Step 3: Cross multiply
    2,666.88x = 3,678.44 × 2,446.56
  4. Step 4: Simplify right side
    2,666.88x = 8,999,524.17
  5. Step 5: Solve for x
    x = 8,999,524.17/2,666.88
  6. Step 6: Final answer
    x = 3,374.55

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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.