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Finding the Fourth Proportional to 21,909.67, 32,865.66 and 7,117.50

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Solution

The fourth proportional to 21,909.67, 32,865.66 and 7,117.50 is: 10,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.67 : 32,865.66 = 7,117.50 : x
  2. Step 2: Convert to fraction form
    21,909.67/32,865.66 = 7,117.50/x
  3. Step 3: Cross multiply
    21,909.67x = 32,865.66 × 7,117.50
  4. Step 4: Simplify right side
    21,909.67x = 233,921,335.05
  5. Step 5: Solve for x
    x = 233,921,335.05/21,909.67
  6. Step 6: Final answer
    x = 10,676.63

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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.