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Finding the Fourth Proportional to 21,872.69, 32,809.53 and 7,833.68

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Solution

The fourth proportional to 21,872.69, 32,809.53 and 7,833.68 is: 11,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.69 : 32,809.53 = 7,833.68 : x
  2. Step 2: Convert to fraction form
    21,872.69/32,809.53 = 7,833.68/x
  3. Step 3: Cross multiply
    21,872.69x = 32,809.53 × 7,833.68
  4. Step 4: Simplify right side
    21,872.69x = 257,019,194.92
  5. Step 5: Solve for x
    x = 257,019,194.92/21,872.69
  6. Step 6: Final answer
    x = 11,750.69

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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.