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Finding the Fourth Proportional to 22,820.64, 31,490.96 and 12,884

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Solution

The fourth proportional to 22,820.64, 31,490.96 and 12,884 is: 17,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.64 : 31,490.96 = 12,884 : x
  2. Step 2: Convert to fraction form
    22,820.64/31,490.96 = 12,884/x
  3. Step 3: Cross multiply
    22,820.64x = 31,490.96 × 12,884
  4. Step 4: Simplify right side
    22,820.64x = 405,729,528.64
  5. Step 5: Solve for x
    x = 405,729,528.64/22,820.64
  6. Step 6: Final answer
    x = 17,779.06

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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.