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Finding the Fourth Proportional to 1,911.14, 2,866.18 and 678.39

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Solution

The fourth proportional to 1,911.14, 2,866.18 and 678.39 is: 1,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.14 : 2,866.18 = 678.39 : x
  2. Step 2: Convert to fraction form
    1,911.14/2,866.18 = 678.39/x
  3. Step 3: Cross multiply
    1,911.14x = 2,866.18 × 678.39
  4. Step 4: Simplify right side
    1,911.14x = 1,944,387.85
  5. Step 5: Solve for x
    x = 1,944,387.85/1,911.14
  6. Step 6: Final answer
    x = 1,017.40

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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.