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Finding the Fourth Proportional to 3,334, 5,004.14 and 1,691.72

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Solution

The fourth proportional to 3,334, 5,004.14 and 1,691.72 is: 2,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334 : 5,004.14 = 1,691.72 : x
  2. Step 2: Convert to fraction form
    3,334/5,004.14 = 1,691.72/x
  3. Step 3: Cross multiply
    3,334x = 5,004.14 × 1,691.72
  4. Step 4: Simplify right side
    3,334x = 8,465,603.72
  5. Step 5: Solve for x
    x = 8,465,603.72/3,334
  6. Step 6: Final answer
    x = 2,539.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.