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Finding the Fourth Proportional to 10,551.90, 14,561.10 and 5,771.58

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Solution

The fourth proportional to 10,551.90, 14,561.10 and 5,771.58 is: 7,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.90 : 14,561.10 = 5,771.58 : x
  2. Step 2: Convert to fraction form
    10,551.90/14,561.10 = 5,771.58/x
  3. Step 3: Cross multiply
    10,551.90x = 14,561.10 × 5,771.58
  4. Step 4: Simplify right side
    10,551.90x = 84,040,553.54
  5. Step 5: Solve for x
    x = 84,040,553.54/10,551.90
  6. Step 6: Final answer
    x = 7,964.49

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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.