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Finding the Fourth Proportional to 29,499.78, 40,709.75 and 16,071

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Solution

The fourth proportional to 29,499.78, 40,709.75 and 16,071 is: 22,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,499.78 : 40,709.75 = 16,071 : x
  2. Step 2: Convert to fraction form
    29,499.78/40,709.75 = 16,071/x
  3. Step 3: Cross multiply
    29,499.78x = 40,709.75 × 16,071
  4. Step 4: Simplify right side
    29,499.78x = 654,246,392.25
  5. Step 5: Solve for x
    x = 654,246,392.25/29,499.78
  6. Step 6: Final answer
    x = 22,178.01

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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.