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Finding the Fourth Proportional to 9,328.78, 12,873.66 and 5,137

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Solution

The fourth proportional to 9,328.78, 12,873.66 and 5,137 is: 7,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.78 : 12,873.66 = 5,137 : x
  2. Step 2: Convert to fraction form
    9,328.78/12,873.66 = 5,137/x
  3. Step 3: Cross multiply
    9,328.78x = 12,873.66 × 5,137
  4. Step 4: Simplify right side
    9,328.78x = 66,131,991.42
  5. Step 5: Solve for x
    x = 66,131,991.42/9,328.78
  6. Step 6: Final answer
    x = 7,089.03

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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.