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Finding the Fourth Proportional to 2,309, 3,186.48 and 1,314.24

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Solution

The fourth proportional to 2,309, 3,186.48 and 1,314.24 is: 1,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309 : 3,186.48 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    2,309/3,186.48 = 1,314.24/x
  3. Step 3: Cross multiply
    2,309x = 3,186.48 × 1,314.24
  4. Step 4: Simplify right side
    2,309x = 4,187,799.48
  5. Step 5: Solve for x
    x = 4,187,799.48/2,309
  6. Step 6: Final answer
    x = 1,813.69

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1.5x scale

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.