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Finding the Fourth Proportional to 16,803, 23,188.20 and 9,351

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Solution

The fourth proportional to 16,803, 23,188.20 and 9,351 is: 12,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803 : 23,188.20 = 9,351 : x
  2. Step 2: Convert to fraction form
    16,803/23,188.20 = 9,351/x
  3. Step 3: Cross multiply
    16,803x = 23,188.20 × 9,351
  4. Step 4: Simplify right side
    16,803x = 216,832,858.20
  5. Step 5: Solve for x
    x = 216,832,858.20/16,803
  6. Step 6: Final answer
    x = 12,904.41

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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.