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Finding the Fourth Proportional to 16,770, 23,143.32 and 9,318

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Solution

The fourth proportional to 16,770, 23,143.32 and 9,318 is: 12,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770 : 23,143.32 = 9,318 : x
  2. Step 2: Convert to fraction form
    16,770/23,143.32 = 9,318/x
  3. Step 3: Cross multiply
    16,770x = 23,143.32 × 9,318
  4. Step 4: Simplify right side
    16,770x = 215,649,455.76
  5. Step 5: Solve for x
    x = 215,649,455.76/16,770
  6. Step 6: Final answer
    x = 12,859.24

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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.