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Finding the Fourth Proportional to 29,146, 40,221.48 and 15,898

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Solution

The fourth proportional to 29,146, 40,221.48 and 15,898 is: 21,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146 : 40,221.48 = 15,898 : x
  2. Step 2: Convert to fraction form
    29,146/40,221.48 = 15,898/x
  3. Step 3: Cross multiply
    29,146x = 40,221.48 × 15,898
  4. Step 4: Simplify right side
    29,146x = 639,441,089.04
  5. Step 5: Solve for x
    x = 639,441,089.04/29,146
  6. Step 6: Final answer
    x = 21,939.24

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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.