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Finding the Fourth Proportional to 10,550.64, 14,557.78 and 5,834.01

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Solution

The fourth proportional to 10,550.64, 14,557.78 and 5,834.01 is: 8,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.64 : 14,557.78 = 5,834.01 : x
  2. Step 2: Convert to fraction form
    10,550.64/14,557.78 = 5,834.01/x
  3. Step 3: Cross multiply
    10,550.64x = 14,557.78 × 5,834.01
  4. Step 4: Simplify right side
    10,550.64x = 84,930,204.93
  5. Step 5: Solve for x
    x = 84,930,204.93/10,550.64
  6. Step 6: Final answer
    x = 8,049.77

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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.