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Finding the Fourth Proportional to 2,803.14, 3,868.16 and 1,684.13

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Solution

The fourth proportional to 2,803.14, 3,868.16 and 1,684.13 is: 2,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.14 : 3,868.16 = 1,684.13 : x
  2. Step 2: Convert to fraction form
    2,803.14/3,868.16 = 1,684.13/x
  3. Step 3: Cross multiply
    2,803.14x = 3,868.16 × 1,684.13
  4. Step 4: Simplify right side
    2,803.14x = 6,514,456.54
  5. Step 5: Solve for x
    x = 6,514,456.54/2,803.14
  6. Step 6: Final answer
    x = 2,323.99

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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.