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Finding the Fourth Proportional to 20,588.79, 30,882.86 and 6,548.61

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Solution

The fourth proportional to 20,588.79, 30,882.86 and 6,548.61 is: 9,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.79 : 30,882.86 = 6,548.61 : x
  2. Step 2: Convert to fraction form
    20,588.79/30,882.86 = 6,548.61/x
  3. Step 3: Cross multiply
    20,588.79x = 30,882.86 × 6,548.61
  4. Step 4: Simplify right side
    20,588.79x = 202,239,805.82
  5. Step 5: Solve for x
    x = 202,239,805.82/20,588.79
  6. Step 6: Final answer
    x = 9,822.81

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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.