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Finding the Fourth Proportional to 17,638.16, 24,339.66 and 9,679.74

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Solution

The fourth proportional to 17,638.16, 24,339.66 and 9,679.74 is: 13,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.16 : 24,339.66 = 9,679.74 : x
  2. Step 2: Convert to fraction form
    17,638.16/24,339.66 = 9,679.74/x
  3. Step 3: Cross multiply
    17,638.16x = 24,339.66 × 9,679.74
  4. Step 4: Simplify right side
    17,638.16x = 235,601,580.49
  5. Step 5: Solve for x
    x = 235,601,580.49/17,638.16
  6. Step 6: Final answer
    x = 13,357.50

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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.