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Finding the Fourth Proportional to 22,699, 31,324.62 and 12,763

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Solution

The fourth proportional to 22,699, 31,324.62 and 12,763 is: 17,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699 : 31,324.62 = 12,763 : x
  2. Step 2: Convert to fraction form
    22,699/31,324.62 = 12,763/x
  3. Step 3: Cross multiply
    22,699x = 31,324.62 × 12,763
  4. Step 4: Simplify right side
    22,699x = 399,796,125.06
  5. Step 5: Solve for x
    x = 399,796,125.06/22,699
  6. Step 6: Final answer
    x = 17,612.94

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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.