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Finding the Fourth Proportional to 2,278.44, 3,416.86 and 1,913.32

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Solution

The fourth proportional to 2,278.44, 3,416.86 and 1,913.32 is: 2,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.44 : 3,416.86 = 1,913.32 : x
  2. Step 2: Convert to fraction form
    2,278.44/3,416.86 = 1,913.32/x
  3. Step 3: Cross multiply
    2,278.44x = 3,416.86 × 1,913.32
  4. Step 4: Simplify right side
    2,278.44x = 6,537,546.58
  5. Step 5: Solve for x
    x = 6,537,546.58/2,278.44
  6. Step 6: Final answer
    x = 2,869.31

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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.