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Finding the Fourth Proportional to 21,767, 32,650.86 and 9,455

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Solution

The fourth proportional to 21,767, 32,650.86 and 9,455 is: 14,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767 : 32,650.86 = 9,455 : x
  2. Step 2: Convert to fraction form
    21,767/32,650.86 = 9,455/x
  3. Step 3: Cross multiply
    21,767x = 32,650.86 × 9,455
  4. Step 4: Simplify right side
    21,767x = 308,713,881.30
  5. Step 5: Solve for x
    x = 308,713,881.30/21,767
  6. Step 6: Final answer
    x = 14,182.66

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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.