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Finding the Fourth Proportional to 2,308.68, 3,186 and 1,313.91

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Solution

The fourth proportional to 2,308.68, 3,186 and 1,313.91 is: 1,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.68 : 3,186 = 1,313.91 : x
  2. Step 2: Convert to fraction form
    2,308.68/3,186 = 1,313.91/x
  3. Step 3: Cross multiply
    2,308.68x = 3,186 × 1,313.91
  4. Step 4: Simplify right side
    2,308.68x = 4,186,117.26
  5. Step 5: Solve for x
    x = 4,186,117.26/2,308.68
  6. Step 6: Final answer
    x = 1,813.21

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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.