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Finding the Fourth Proportional to 13,205.92, 18,224.31 and 7,237.46

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Solution

The fourth proportional to 13,205.92, 18,224.31 and 7,237.46 is: 9,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.92 : 18,224.31 = 7,237.46 : x
  2. Step 2: Convert to fraction form
    13,205.92/18,224.31 = 7,237.46/x
  3. Step 3: Cross multiply
    13,205.92x = 18,224.31 × 7,237.46
  4. Step 4: Simplify right side
    13,205.92x = 131,897,714.65
  5. Step 5: Solve for x
    x = 131,897,714.65/13,205.92
  6. Step 6: Final answer
    x = 9,987.77

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Double scale
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1.5x scale

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.