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Finding the Fourth Proportional to 3,005.42, 4,147.42 and 1,679.14

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Solution

The fourth proportional to 3,005.42, 4,147.42 and 1,679.14 is: 2,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.42 : 4,147.42 = 1,679.14 : x
  2. Step 2: Convert to fraction form
    3,005.42/4,147.42 = 1,679.14/x
  3. Step 3: Cross multiply
    3,005.42x = 4,147.42 × 1,679.14
  4. Step 4: Simplify right side
    3,005.42x = 6,964,098.82
  5. Step 5: Solve for x
    x = 6,964,098.82/3,005.42
  6. Step 6: Final answer
    x = 2,317.18

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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.