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Finding the Fourth Proportional to 21,498, 32,249.76 and 7,647.12

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Solution

The fourth proportional to 21,498, 32,249.76 and 7,647.12 is: 11,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498 : 32,249.76 = 7,647.12 : x
  2. Step 2: Convert to fraction form
    21,498/32,249.76 = 7,647.12/x
  3. Step 3: Cross multiply
    21,498x = 32,249.76 × 7,647.12
  4. Step 4: Simplify right side
    21,498x = 246,617,784.69
  5. Step 5: Solve for x
    x = 246,617,784.69/21,498
  6. Step 6: Final answer
    x = 11,471.66

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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.