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Finding the Fourth Proportional to 7,281.90, 10,906.65 and 6,309.90

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Solution

The fourth proportional to 7,281.90, 10,906.65 and 6,309.90 is: 9,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.90 : 10,906.65 = 6,309.90 : x
  2. Step 2: Convert to fraction form
    7,281.90/10,906.65 = 6,309.90/x
  3. Step 3: Cross multiply
    7,281.90x = 10,906.65 × 6,309.90
  4. Step 4: Simplify right side
    7,281.90x = 68,819,870.84
  5. Step 5: Solve for x
    x = 68,819,870.84/7,281.90
  6. Step 6: Final answer
    x = 9,450.81

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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.