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Finding the Fourth Proportional to 7,778, 10,729.94 and 5,260.99

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Solution

The fourth proportional to 7,778, 10,729.94 and 5,260.99 is: 7,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 10,729.94 = 5,260.99 : x
  2. Step 2: Convert to fraction form
    7,778/10,729.94 = 5,260.99/x
  3. Step 3: Cross multiply
    7,778x = 10,729.94 × 5,260.99
  4. Step 4: Simplify right side
    7,778x = 56,450,107.04
  5. Step 5: Solve for x
    x = 56,450,107.04/7,778
  6. Step 6: Final answer
    x = 7,257.66

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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.