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Finding the Fourth Proportional to 9,476.74, 13,078 and 5,227.80

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Solution

The fourth proportional to 9,476.74, 13,078 and 5,227.80 is: 7,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.74 : 13,078 = 5,227.80 : x
  2. Step 2: Convert to fraction form
    9,476.74/13,078 = 5,227.80/x
  3. Step 3: Cross multiply
    9,476.74x = 13,078 × 5,227.80
  4. Step 4: Simplify right side
    9,476.74x = 68,369,168.40
  5. Step 5: Solve for x
    x = 68,369,168.40/9,476.74
  6. Step 6: Final answer
    x = 7,214.42

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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.