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Finding the Fourth Proportional to 22,887, 31,584.54 and 12,951

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Solution

The fourth proportional to 22,887, 31,584.54 and 12,951 is: 17,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887 : 31,584.54 = 12,951 : x
  2. Step 2: Convert to fraction form
    22,887/31,584.54 = 12,951/x
  3. Step 3: Cross multiply
    22,887x = 31,584.54 × 12,951
  4. Step 4: Simplify right side
    22,887x = 409,051,377.54
  5. Step 5: Solve for x
    x = 409,051,377.54/22,887
  6. Step 6: Final answer
    x = 17,872.65

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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.