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Finding the Fourth Proportional to 39,122, 53,988.44 and 22,354.96

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Solution

The fourth proportional to 39,122, 53,988.44 and 22,354.96 is: 30,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,122 : 53,988.44 = 22,354.96 : x
  2. Step 2: Convert to fraction form
    39,122/53,988.44 = 22,354.96/x
  3. Step 3: Cross multiply
    39,122x = 53,988.44 × 22,354.96
  4. Step 4: Simplify right side
    39,122x = 1,206,909,416.66
  5. Step 5: Solve for x
    x = 1,206,909,416.66/39,122
  6. Step 6: Final answer
    x = 30,849.89

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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.