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Finding the Fourth Proportional to 20,646, 30,970.17 and 5,853.75

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Solution

The fourth proportional to 20,646, 30,970.17 and 5,853.75 is: 8,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 30,970.17 = 5,853.75 : x
  2. Step 2: Convert to fraction form
    20,646/30,970.17 = 5,853.75/x
  3. Step 3: Cross multiply
    20,646x = 30,970.17 × 5,853.75
  4. Step 4: Simplify right side
    20,646x = 181,291,632.64
  5. Step 5: Solve for x
    x = 181,291,632.64/20,646
  6. Step 6: Final answer
    x = 8,780.96

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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.