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Finding the Fourth Proportional to 7,066.85, 9,752.07 and 3,880.13

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Solution

The fourth proportional to 7,066.85, 9,752.07 and 3,880.13 is: 5,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.85 : 9,752.07 = 3,880.13 : x
  2. Step 2: Convert to fraction form
    7,066.85/9,752.07 = 3,880.13/x
  3. Step 3: Cross multiply
    7,066.85x = 9,752.07 × 3,880.13
  4. Step 4: Simplify right side
    7,066.85x = 37,839,299.37
  5. Step 5: Solve for x
    x = 37,839,299.37/7,066.85
  6. Step 6: Final answer
    x = 5,354.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.