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Finding the Fourth Proportional to 2,308.95, 3,186 and 1,314.18

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Solution

The fourth proportional to 2,308.95, 3,186 and 1,314.18 is: 1,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.95 : 3,186 = 1,314.18 : x
  2. Step 2: Convert to fraction form
    2,308.95/3,186 = 1,314.18/x
  3. Step 3: Cross multiply
    2,308.95x = 3,186 × 1,314.18
  4. Step 4: Simplify right side
    2,308.95x = 4,186,977.48
  5. Step 5: Solve for x
    x = 4,186,977.48/2,308.95
  6. Step 6: Final answer
    x = 1,813.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.