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Finding the Fourth Proportional to 57,882.44, 86,830 and 18,430.28

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Solution

The fourth proportional to 57,882.44, 86,830 and 18,430.28 is: 27,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.44 : 86,830 = 18,430.28 : x
  2. Step 2: Convert to fraction form
    57,882.44/86,830 = 18,430.28/x
  3. Step 3: Cross multiply
    57,882.44x = 86,830 × 18,430.28
  4. Step 4: Simplify right side
    57,882.44x = 1,600,301,212.40
  5. Step 5: Solve for x
    x = 1,600,301,212.40/57,882.44
  6. Step 6: Final answer
    x = 27,647.44

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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.