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Finding the Fourth Proportional to 18,965.78, 28,452.32 and 7,278.08

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Solution

The fourth proportional to 18,965.78, 28,452.32 and 7,278.08 is: 10,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965.78 : 28,452.32 = 7,278.08 : x
  2. Step 2: Convert to fraction form
    18,965.78/28,452.32 = 7,278.08/x
  3. Step 3: Cross multiply
    18,965.78x = 28,452.32 × 7,278.08
  4. Step 4: Simplify right side
    18,965.78x = 207,078,261.15
  5. Step 5: Solve for x
    x = 207,078,261.15/18,965.78
  6. Step 6: Final answer
    x = 10,918.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.