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Finding the Fourth Proportional to 3,920.94, 5,411.07 and 2,349

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Solution

The fourth proportional to 3,920.94, 5,411.07 and 2,349 is: 3,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.94 : 5,411.07 = 2,349 : x
  2. Step 2: Convert to fraction form
    3,920.94/5,411.07 = 2,349/x
  3. Step 3: Cross multiply
    3,920.94x = 5,411.07 × 2,349
  4. Step 4: Simplify right side
    3,920.94x = 12,710,603.43
  5. Step 5: Solve for x
    x = 12,710,603.43/3,920.94
  6. Step 6: Final answer
    x = 3,241.72

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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.