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Finding the Fourth Proportional to 1,911.41, 2,867.13 and 678.87

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Solution

The fourth proportional to 1,911.41, 2,867.13 and 678.87 is: 1,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.41 : 2,867.13 = 678.87 : x
  2. Step 2: Convert to fraction form
    1,911.41/2,867.13 = 678.87/x
  3. Step 3: Cross multiply
    1,911.41x = 2,867.13 × 678.87
  4. Step 4: Simplify right side
    1,911.41x = 1,946,407.38
  5. Step 5: Solve for x
    x = 1,946,407.38/1,911.41
  6. Step 6: Final answer
    x = 1,018.31

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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.