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Finding the Fourth Proportional to 16,657, 22,986.72 and 9,205

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Solution

The fourth proportional to 16,657, 22,986.72 and 9,205 is: 12,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657 : 22,986.72 = 9,205 : x
  2. Step 2: Convert to fraction form
    16,657/22,986.72 = 9,205/x
  3. Step 3: Cross multiply
    16,657x = 22,986.72 × 9,205
  4. Step 4: Simplify right side
    16,657x = 211,592,757.60
  5. Step 5: Solve for x
    x = 211,592,757.60/16,657
  6. Step 6: Final answer
    x = 12,702.93

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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.