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Finding the Fourth Proportional to 3,079, 4,249.11 and 1,681.84

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Solution

The fourth proportional to 3,079, 4,249.11 and 1,681.84 is: 2,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079 : 4,249.11 = 1,681.84 : x
  2. Step 2: Convert to fraction form
    3,079/4,249.11 = 1,681.84/x
  3. Step 3: Cross multiply
    3,079x = 4,249.11 × 1,681.84
  4. Step 4: Simplify right side
    3,079x = 7,146,323.16
  5. Step 5: Solve for x
    x = 7,146,323.16/3,079
  6. Step 6: Final answer
    x = 2,320.99

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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.