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Finding the Fourth Proportional to 29,270.68, 40,399.50 and 19,842.28

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Solution

The fourth proportional to 29,270.68, 40,399.50 and 19,842.28 is: 27,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270.68 : 40,399.50 = 19,842.28 : x
  2. Step 2: Convert to fraction form
    29,270.68/40,399.50 = 19,842.28/x
  3. Step 3: Cross multiply
    29,270.68x = 40,399.50 × 19,842.28
  4. Step 4: Simplify right side
    29,270.68x = 801,618,190.86
  5. Step 5: Solve for x
    x = 801,618,190.86/29,270.68
  6. Step 6: Final answer
    x = 27,386.39

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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.