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Finding the Fourth Proportional to 13,208.76, 18,232.14 and 7,623.48

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Solution

The fourth proportional to 13,208.76, 18,232.14 and 7,623.48 is: 10,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.76 : 18,232.14 = 7,623.48 : x
  2. Step 2: Convert to fraction form
    13,208.76/18,232.14 = 7,623.48/x
  3. Step 3: Cross multiply
    13,208.76x = 18,232.14 × 7,623.48
  4. Step 4: Simplify right side
    13,208.76x = 138,992,354.65
  5. Step 5: Solve for x
    x = 138,992,354.65/13,208.76
  6. Step 6: Final answer
    x = 10,522.74

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Half 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.