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Finding the Fourth Proportional to 16,761, 23,130.90 and 9,309

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Solution

The fourth proportional to 16,761, 23,130.90 and 9,309 is: 12,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761 : 23,130.90 = 9,309 : x
  2. Step 2: Convert to fraction form
    16,761/23,130.90 = 9,309/x
  3. Step 3: Cross multiply
    16,761x = 23,130.90 × 9,309
  4. Step 4: Simplify right side
    16,761x = 215,325,548.10
  5. Step 5: Solve for x
    x = 215,325,548.10/16,761
  6. Step 6: Final answer
    x = 12,846.82

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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.