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Finding the Fourth Proportional to 12,593.78, 18,891.34 and 3,828.02

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Solution

The fourth proportional to 12,593.78, 18,891.34 and 3,828.02 is: 5,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.78 : 18,891.34 = 3,828.02 : x
  2. Step 2: Convert to fraction form
    12,593.78/18,891.34 = 3,828.02/x
  3. Step 3: Cross multiply
    12,593.78x = 18,891.34 × 3,828.02
  4. Step 4: Simplify right side
    12,593.78x = 72,316,465.01
  5. Step 5: Solve for x
    x = 72,316,465.01/12,593.78
  6. Step 6: Final answer
    x = 5,742.24

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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.