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Finding the Fourth Proportional to 3,008, 4,151.12 and 1,681.93

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Solution

The fourth proportional to 3,008, 4,151.12 and 1,681.93 is: 2,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008 : 4,151.12 = 1,681.93 : x
  2. Step 2: Convert to fraction form
    3,008/4,151.12 = 1,681.93/x
  3. Step 3: Cross multiply
    3,008x = 4,151.12 × 1,681.93
  4. Step 4: Simplify right side
    3,008x = 6,981,893.26
  5. Step 5: Solve for x
    x = 6,981,893.26/3,008
  6. Step 6: Final answer
    x = 2,321.11

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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.