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Finding the Fourth Proportional to 3,607, 4,977.66 and 1,951

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Solution

The fourth proportional to 3,607, 4,977.66 and 1,951 is: 2,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 4,977.66 = 1,951 : x
  2. Step 2: Convert to fraction form
    3,607/4,977.66 = 1,951/x
  3. Step 3: Cross multiply
    3,607x = 4,977.66 × 1,951
  4. Step 4: Simplify right side
    3,607x = 9,711,414.66
  5. Step 5: Solve for x
    x = 9,711,414.66/3,607
  6. Step 6: Final answer
    x = 2,692.38

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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.