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Finding the Fourth Proportional to 40,007, 55,209.66 and 22,343

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Solution

The fourth proportional to 40,007, 55,209.66 and 22,343 is: 30,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,007 : 55,209.66 = 22,343 : x
  2. Step 2: Convert to fraction form
    40,007/55,209.66 = 22,343/x
  3. Step 3: Cross multiply
    40,007x = 55,209.66 × 22,343
  4. Step 4: Simplify right side
    40,007x = 1,233,549,433.38
  5. Step 5: Solve for x
    x = 1,233,549,433.38/40,007
  6. Step 6: Final answer
    x = 30,833.34

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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.