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Finding the Fourth Proportional to 22,915, 31,622.70 and 12,979

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Solution

The fourth proportional to 22,915, 31,622.70 and 12,979 is: 17,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915 : 31,622.70 = 12,979 : x
  2. Step 2: Convert to fraction form
    22,915/31,622.70 = 12,979/x
  3. Step 3: Cross multiply
    22,915x = 31,622.70 × 12,979
  4. Step 4: Simplify right side
    22,915x = 410,431,023.30
  5. Step 5: Solve for x
    x = 410,431,023.30/22,915
  6. Step 6: Final answer
    x = 17,911.02

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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.