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Finding the Fourth Proportional to 18,902.78, 28,342.02 and 9,041.84

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Solution

The fourth proportional to 18,902.78, 28,342.02 and 9,041.84 is: 13,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902.78 : 28,342.02 = 9,041.84 : x
  2. Step 2: Convert to fraction form
    18,902.78/28,342.02 = 9,041.84/x
  3. Step 3: Cross multiply
    18,902.78x = 28,342.02 × 9,041.84
  4. Step 4: Simplify right side
    18,902.78x = 256,264,010.12
  5. Step 5: Solve for x
    x = 256,264,010.12/18,902.78
  6. Step 6: Final answer
    x = 13,556.95

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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.