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Finding the Fourth Proportional to 7,319, 10,964.73 and 3,616.90

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Solution

The fourth proportional to 7,319, 10,964.73 and 3,616.90 is: 5,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 10,964.73 = 3,616.90 : x
  2. Step 2: Convert to fraction form
    7,319/10,964.73 = 3,616.90/x
  3. Step 3: Cross multiply
    7,319x = 10,964.73 × 3,616.90
  4. Step 4: Simplify right side
    7,319x = 39,658,331.94
  5. Step 5: Solve for x
    x = 39,658,331.94/7,319
  6. Step 6: Final answer
    x = 5,418.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.