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Finding the Fourth Proportional to 10,360.78, 14,198.24 and 9,364.30

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Solution

The fourth proportional to 10,360.78, 14,198.24 and 9,364.30 is: 12,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.78 : 14,198.24 = 9,364.30 : x
  2. Step 2: Convert to fraction form
    10,360.78/14,198.24 = 9,364.30/x
  3. Step 3: Cross multiply
    10,360.78x = 14,198.24 × 9,364.30
  4. Step 4: Simplify right side
    10,360.78x = 132,956,578.83
  5. Step 5: Solve for x
    x = 132,956,578.83/10,360.78
  6. Step 6: Final answer
    x = 12,832.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.