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Finding the Fourth Proportional to 16,511, 22,785.50 and 9,887

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Solution

The fourth proportional to 16,511, 22,785.50 and 9,887 is: 13,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511 : 22,785.50 = 9,887 : x
  2. Step 2: Convert to fraction form
    16,511/22,785.50 = 9,887/x
  3. Step 3: Cross multiply
    16,511x = 22,785.50 × 9,887
  4. Step 4: Simplify right side
    16,511x = 225,280,238.50
  5. Step 5: Solve for x
    x = 225,280,238.50/16,511
  6. Step 6: Final answer
    x = 13,644.25

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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.