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Finding the Fourth Proportional to 10,894.60, 16,320.02 and 9,221.56

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Solution

The fourth proportional to 10,894.60, 16,320.02 and 9,221.56 is: 13,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.60 : 16,320.02 = 9,221.56 : x
  2. Step 2: Convert to fraction form
    10,894.60/16,320.02 = 9,221.56/x
  3. Step 3: Cross multiply
    10,894.60x = 16,320.02 × 9,221.56
  4. Step 4: Simplify right side
    10,894.60x = 150,496,043.63
  5. Step 5: Solve for x
    x = 150,496,043.63/10,894.60
  6. Step 6: Final answer
    x = 13,813.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.