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Finding the Fourth Proportional to 10,067.12, 13,893.06 and 5,590.88

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Solution

The fourth proportional to 10,067.12, 13,893.06 and 5,590.88 is: 7,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.12 : 13,893.06 = 5,590.88 : x
  2. Step 2: Convert to fraction form
    10,067.12/13,893.06 = 5,590.88/x
  3. Step 3: Cross multiply
    10,067.12x = 13,893.06 × 5,590.88
  4. Step 4: Simplify right side
    10,067.12x = 77,674,361.83
  5. Step 5: Solve for x
    x = 77,674,361.83/10,067.12
  6. Step 6: Final answer
    x = 7,715.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.