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Finding the Fourth Proportional to 6,620, 9,137.56 and 3,969.04

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Solution

The fourth proportional to 6,620, 9,137.56 and 3,969.04 is: 5,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620 : 9,137.56 = 3,969.04 : x
  2. Step 2: Convert to fraction form
    6,620/9,137.56 = 3,969.04/x
  3. Step 3: Cross multiply
    6,620x = 9,137.56 × 3,969.04
  4. Step 4: Simplify right side
    6,620x = 36,267,341.14
  5. Step 5: Solve for x
    x = 36,267,341.14/6,620
  6. Step 6: Final answer
    x = 5,478.45

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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.