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Finding the Fourth Proportional to 17,383.40, 23,987.78 and 9,830.44

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Solution

The fourth proportional to 17,383.40, 23,987.78 and 9,830.44 is: 13,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.40 : 23,987.78 = 9,830.44 : x
  2. Step 2: Convert to fraction form
    17,383.40/23,987.78 = 9,830.44/x
  3. Step 3: Cross multiply
    17,383.40x = 23,987.78 × 9,830.44
  4. Step 4: Simplify right side
    17,383.40x = 235,810,314.79
  5. Step 5: Solve for x
    x = 235,810,314.79/17,383.40
  6. Step 6: Final answer
    x = 13,565.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.