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Finding the Fourth Proportional to 65,975.72, 98,982 and 21,633.68

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Solution

The fourth proportional to 65,975.72, 98,982 and 21,633.68 is: 32,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975.72 : 98,982 = 21,633.68 : x
  2. Step 2: Convert to fraction form
    65,975.72/98,982 = 21,633.68/x
  3. Step 3: Cross multiply
    65,975.72x = 98,982 × 21,633.68
  4. Step 4: Simplify right side
    65,975.72x = 2,141,345,161.22
  5. Step 5: Solve for x
    x = 2,141,345,161.22/65,975.72
  6. Step 6: Final answer
    x = 32,456.57

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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.