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Finding the Fourth Proportional to 7,148.58, 9,865.11 and 3,961.98

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Solution

The fourth proportional to 7,148.58, 9,865.11 and 3,961.98 is: 5,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.58 : 9,865.11 = 3,961.98 : x
  2. Step 2: Convert to fraction form
    7,148.58/9,865.11 = 3,961.98/x
  3. Step 3: Cross multiply
    7,148.58x = 9,865.11 × 3,961.98
  4. Step 4: Simplify right side
    7,148.58x = 39,085,368.52
  5. Step 5: Solve for x
    x = 39,085,368.52/7,148.58
  6. Step 6: Final answer
    x = 5,467.57

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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.