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Finding the Fourth Proportional to 7,034.42, 9,706.36 and 3,890

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Solution

The fourth proportional to 7,034.42, 9,706.36 and 3,890 is: 5,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.42 : 9,706.36 = 3,890 : x
  2. Step 2: Convert to fraction form
    7,034.42/9,706.36 = 3,890/x
  3. Step 3: Cross multiply
    7,034.42x = 9,706.36 × 3,890
  4. Step 4: Simplify right side
    7,034.42x = 37,757,740.40
  5. Step 5: Solve for x
    x = 37,757,740.40/7,034.42
  6. Step 6: Final answer
    x = 5,367.57

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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.