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Finding the Fourth Proportional to 15,893.42, 21,934.40 and 8,822.12

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Solution

The fourth proportional to 15,893.42, 21,934.40 and 8,822.12 is: 12,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.42 : 21,934.40 = 8,822.12 : x
  2. Step 2: Convert to fraction form
    15,893.42/21,934.40 = 8,822.12/x
  3. Step 3: Cross multiply
    15,893.42x = 21,934.40 × 8,822.12
  4. Step 4: Simplify right side
    15,893.42x = 193,507,755.15
  5. Step 5: Solve for x
    x = 193,507,755.15/15,893.42
  6. Step 6: Final answer
    x = 12,175.34

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1.5x scale

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.