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Finding the Fourth Proportional to 17,358, 23,954 and 9,400.20

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Solution

The fourth proportional to 17,358, 23,954 and 9,400.20 is: 12,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358 : 23,954 = 9,400.20 : x
  2. Step 2: Convert to fraction form
    17,358/23,954 = 9,400.20/x
  3. Step 3: Cross multiply
    17,358x = 23,954 × 9,400.20
  4. Step 4: Simplify right side
    17,358x = 225,172,390.80
  5. Step 5: Solve for x
    x = 225,172,390.80/17,358
  6. Step 6: Final answer
    x = 12,972.25

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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.