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Finding the Fourth Proportional to 3,408.11, 4,702.97 and 1,916.01

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Solution

The fourth proportional to 3,408.11, 4,702.97 and 1,916.01 is: 2,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.11 : 4,702.97 = 1,916.01 : x
  2. Step 2: Convert to fraction form
    3,408.11/4,702.97 = 1,916.01/x
  3. Step 3: Cross multiply
    3,408.11x = 4,702.97 × 1,916.01
  4. Step 4: Simplify right side
    3,408.11x = 9,010,927.97
  5. Step 5: Solve for x
    x = 9,010,927.97/3,408.11
  6. Step 6: Final answer
    x = 2,643.97

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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.