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Finding the Fourth Proportional to 7,469.06, 10,307.34 and 4,112.21

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Solution

The fourth proportional to 7,469.06, 10,307.34 and 4,112.21 is: 5,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.06 : 10,307.34 = 4,112.21 : x
  2. Step 2: Convert to fraction form
    7,469.06/10,307.34 = 4,112.21/x
  3. Step 3: Cross multiply
    7,469.06x = 10,307.34 × 4,112.21
  4. Step 4: Simplify right side
    7,469.06x = 42,385,946.62
  5. Step 5: Solve for x
    x = 42,385,946.62/7,469.06
  6. Step 6: Final answer
    x = 5,674.87

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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.