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Finding the Fourth Proportional to 2,891.60, 4,316.38 and 2,678

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Solution

The fourth proportional to 2,891.60, 4,316.38 and 2,678 is: 3,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.60 : 4,316.38 = 2,678 : x
  2. Step 2: Convert to fraction form
    2,891.60/4,316.38 = 2,678/x
  3. Step 3: Cross multiply
    2,891.60x = 4,316.38 × 2,678
  4. Step 4: Simplify right side
    2,891.60x = 11,559,265.64
  5. Step 5: Solve for x
    x = 11,559,265.64/2,891.60
  6. Step 6: Final answer
    x = 3,997.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.