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Finding the Fourth Proportional to 22,725, 31,360.64 and 12,789

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Solution

The fourth proportional to 22,725, 31,360.64 and 12,789 is: 17,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725 : 31,360.64 = 12,789 : x
  2. Step 2: Convert to fraction form
    22,725/31,360.64 = 12,789/x
  3. Step 3: Cross multiply
    22,725x = 31,360.64 × 12,789
  4. Step 4: Simplify right side
    22,725x = 401,071,161.02
  5. Step 5: Solve for x
    x = 401,071,161.02/22,725
  6. Step 6: Final answer
    x = 17,648.90

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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.