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Finding the Fourth Proportional to 13,751.47, 20,609.89 and 7,498.47

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Solution

The fourth proportional to 13,751.47, 20,609.89 and 7,498.47 is: 11,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.47 : 20,609.89 = 7,498.47 : x
  2. Step 2: Convert to fraction form
    13,751.47/20,609.89 = 7,498.47/x
  3. Step 3: Cross multiply
    13,751.47x = 20,609.89 × 7,498.47
  4. Step 4: Simplify right side
    13,751.47x = 154,542,623.12
  5. Step 5: Solve for x
    x = 154,542,623.12/13,751.47
  6. Step 6: Final answer
    x = 11,238.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.