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Finding the Fourth Proportional to 22,899, 31,600.62 and 12,963

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Solution

The fourth proportional to 22,899, 31,600.62 and 12,963 is: 17,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899 : 31,600.62 = 12,963 : x
  2. Step 2: Convert to fraction form
    22,899/31,600.62 = 12,963/x
  3. Step 3: Cross multiply
    22,899x = 31,600.62 × 12,963
  4. Step 4: Simplify right side
    22,899x = 409,638,837.06
  5. Step 5: Solve for x
    x = 409,638,837.06/22,899
  6. Step 6: Final answer
    x = 17,888.94

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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.