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Finding the Fourth Proportional to 21,836.78, 32,727.78 and 9,342.14

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Solution

The fourth proportional to 21,836.78, 32,727.78 and 9,342.14 is: 14,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836.78 : 32,727.78 = 9,342.14 : x
  2. Step 2: Convert to fraction form
    21,836.78/32,727.78 = 9,342.14/x
  3. Step 3: Cross multiply
    21,836.78x = 32,727.78 × 9,342.14
  4. Step 4: Simplify right side
    21,836.78x = 305,747,502.65
  5. Step 5: Solve for x
    x = 305,747,502.65/21,836.78
  6. Step 6: Final answer
    x = 14,001.49

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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.