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Finding the Fourth Proportional to 21,712.77, 32,543.64 and 9,225

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Solution

The fourth proportional to 21,712.77, 32,543.64 and 9,225 is: 13,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.77 : 32,543.64 = 9,225 : x
  2. Step 2: Convert to fraction form
    21,712.77/32,543.64 = 9,225/x
  3. Step 3: Cross multiply
    21,712.77x = 32,543.64 × 9,225
  4. Step 4: Simplify right side
    21,712.77x = 300,215,079
  5. Step 5: Solve for x
    x = 300,215,079/21,712.77
  6. Step 6: Final answer
    x = 13,826.66

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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.