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Finding the Fourth Proportional to 2,678.04, 4,017 and 1,115.86

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Solution

The fourth proportional to 2,678.04, 4,017 and 1,115.86 is: 1,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.04 : 4,017 = 1,115.86 : x
  2. Step 2: Convert to fraction form
    2,678.04/4,017 = 1,115.86/x
  3. Step 3: Cross multiply
    2,678.04x = 4,017 × 1,115.86
  4. Step 4: Simplify right side
    2,678.04x = 4,482,409.62
  5. Step 5: Solve for x
    x = 4,482,409.62/2,678.04
  6. Step 6: Final answer
    x = 1,673.76

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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.