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Finding the Fourth Proportional to 9,316.78, 12,857.13 and 5,125

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Solution

The fourth proportional to 9,316.78, 12,857.13 and 5,125 is: 7,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.78 : 12,857.13 = 5,125 : x
  2. Step 2: Convert to fraction form
    9,316.78/12,857.13 = 5,125/x
  3. Step 3: Cross multiply
    9,316.78x = 12,857.13 × 5,125
  4. Step 4: Simplify right side
    9,316.78x = 65,892,791.25
  5. Step 5: Solve for x
    x = 65,892,791.25/9,316.78
  6. Step 6: Final answer
    x = 7,072.49

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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.