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Finding the Fourth Proportional to 29,223, 40,327.74 and 15,975

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Solution

The fourth proportional to 29,223, 40,327.74 and 15,975 is: 22,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223 : 40,327.74 = 15,975 : x
  2. Step 2: Convert to fraction form
    29,223/40,327.74 = 15,975/x
  3. Step 3: Cross multiply
    29,223x = 40,327.74 × 15,975
  4. Step 4: Simplify right side
    29,223x = 644,235,646.50
  5. Step 5: Solve for x
    x = 644,235,646.50/29,223
  6. Step 6: Final answer
    x = 22,045.50

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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.