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Finding the Fourth Proportional to 16,858, 23,264.04 and 9,406

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Solution

The fourth proportional to 16,858, 23,264.04 and 9,406 is: 12,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858 : 23,264.04 = 9,406 : x
  2. Step 2: Convert to fraction form
    16,858/23,264.04 = 9,406/x
  3. Step 3: Cross multiply
    16,858x = 23,264.04 × 9,406
  4. Step 4: Simplify right side
    16,858x = 218,821,560.24
  5. Step 5: Solve for x
    x = 218,821,560.24/16,858
  6. Step 6: Final answer
    x = 12,980.28

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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.