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Finding the Fourth Proportional to 13,344.08, 18,416.52 and 7,754

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Solution

The fourth proportional to 13,344.08, 18,416.52 and 7,754 is: 10,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.08 : 18,416.52 = 7,754 : x
  2. Step 2: Convert to fraction form
    13,344.08/18,416.52 = 7,754/x
  3. Step 3: Cross multiply
    13,344.08x = 18,416.52 × 7,754
  4. Step 4: Simplify right side
    13,344.08x = 142,801,696.08
  5. Step 5: Solve for x
    x = 142,801,696.08/13,344.08
  6. Step 6: Final answer
    x = 10,701.50

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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.