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Finding the Fourth Proportional to 4,551, 6,774.39 and 4,338.60

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Solution

The fourth proportional to 4,551, 6,774.39 and 4,338.60 is: 6,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551 : 6,774.39 = 4,338.60 : x
  2. Step 2: Convert to fraction form
    4,551/6,774.39 = 4,338.60/x
  3. Step 3: Cross multiply
    4,551x = 6,774.39 × 4,338.60
  4. Step 4: Simplify right side
    4,551x = 29,391,368.45
  5. Step 5: Solve for x
    x = 29,391,368.45/4,551
  6. Step 6: Final answer
    x = 6,458.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.