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Finding the Fourth Proportional to 9,145.78, 12,621.11 and 4,954

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Solution

The fourth proportional to 9,145.78, 12,621.11 and 4,954 is: 6,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.78 : 12,621.11 = 4,954 : x
  2. Step 2: Convert to fraction form
    9,145.78/12,621.11 = 4,954/x
  3. Step 3: Cross multiply
    9,145.78x = 12,621.11 × 4,954
  4. Step 4: Simplify right side
    9,145.78x = 62,524,978.94
  5. Step 5: Solve for x
    x = 62,524,978.94/9,145.78
  6. Step 6: Final answer
    x = 6,836.48

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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.