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Finding the Fourth Proportional to 16,887, 23,308.92 and 11,298

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Solution

The fourth proportional to 16,887, 23,308.92 and 11,298 is: 15,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887 : 23,308.92 = 11,298 : x
  2. Step 2: Convert to fraction form
    16,887/23,308.92 = 11,298/x
  3. Step 3: Cross multiply
    16,887x = 23,308.92 × 11,298
  4. Step 4: Simplify right side
    16,887x = 263,344,178.16
  5. Step 5: Solve for x
    x = 263,344,178.16/16,887
  6. Step 6: Final answer
    x = 15,594.49

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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.