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Finding the Fourth Proportional to 16,021.66, 22,108.38 and 9,307.12

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Solution

The fourth proportional to 16,021.66, 22,108.38 and 9,307.12 is: 12,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.66 : 22,108.38 = 9,307.12 : x
  2. Step 2: Convert to fraction form
    16,021.66/22,108.38 = 9,307.12/x
  3. Step 3: Cross multiply
    16,021.66x = 22,108.38 × 9,307.12
  4. Step 4: Simplify right side
    16,021.66x = 205,765,345.67
  5. Step 5: Solve for x
    x = 205,765,345.67/16,021.66
  6. Step 6: Final answer
    x = 12,842.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.