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Finding the Fourth Proportional to 18,208.88, 27,323.92 and 7,678.24

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Solution

The fourth proportional to 18,208.88, 27,323.92 and 7,678.24 is: 11,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.88 : 27,323.92 = 7,678.24 : x
  2. Step 2: Convert to fraction form
    18,208.88/27,323.92 = 7,678.24/x
  3. Step 3: Cross multiply
    18,208.88x = 27,323.92 × 7,678.24
  4. Step 4: Simplify right side
    18,208.88x = 209,799,615.50
  5. Step 5: Solve for x
    x = 209,799,615.50/18,208.88
  6. Step 6: Final answer
    x = 11,521.83

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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.