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Finding the Fourth Proportional to 13,078.50, 18,048 and 7,110.03

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Solution

The fourth proportional to 13,078.50, 18,048 and 7,110.03 is: 9,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.50 : 18,048 = 7,110.03 : x
  2. Step 2: Convert to fraction form
    13,078.50/18,048 = 7,110.03/x
  3. Step 3: Cross multiply
    13,078.50x = 18,048 × 7,110.03
  4. Step 4: Simplify right side
    13,078.50x = 128,321,821.44
  5. Step 5: Solve for x
    x = 128,321,821.44/13,078.50
  6. Step 6: Final answer
    x = 9,811.66

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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.