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Finding the Fourth Proportional to 4,643.56, 6,408.95 and 2,965.49

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Solution

The fourth proportional to 4,643.56, 6,408.95 and 2,965.49 is: 4,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.56 : 6,408.95 = 2,965.49 : x
  2. Step 2: Convert to fraction form
    4,643.56/6,408.95 = 2,965.49/x
  3. Step 3: Cross multiply
    4,643.56x = 6,408.95 × 2,965.49
  4. Step 4: Simplify right side
    4,643.56x = 19,005,677.14
  5. Step 5: Solve for x
    x = 19,005,677.14/4,643.56
  6. Step 6: Final answer
    x = 4,092.91

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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.