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Finding the Fourth Proportional to 18,208.84, 27,323.86 and 7,678.22

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Solution

The fourth proportional to 18,208.84, 27,323.86 and 7,678.22 is: 11,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.84 : 27,323.86 = 7,678.22 : x
  2. Step 2: Convert to fraction form
    18,208.84/27,323.86 = 7,678.22/x
  3. Step 3: Cross multiply
    18,208.84x = 27,323.86 × 7,678.22
  4. Step 4: Simplify right side
    18,208.84x = 209,798,608.33
  5. Step 5: Solve for x
    x = 209,798,608.33/18,208.84
  6. Step 6: Final answer
    x = 11,521.80

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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.