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Finding the Fourth Proportional to 10,452.98, 14,424.68 and 5,737.37

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Solution

The fourth proportional to 10,452.98, 14,424.68 and 5,737.37 is: 7,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.98 : 14,424.68 = 5,737.37 : x
  2. Step 2: Convert to fraction form
    10,452.98/14,424.68 = 5,737.37/x
  3. Step 3: Cross multiply
    10,452.98x = 14,424.68 × 5,737.37
  4. Step 4: Simplify right side
    10,452.98x = 82,759,668.51
  5. Step 5: Solve for x
    x = 82,759,668.51/10,452.98
  6. Step 6: Final answer
    x = 7,917.33

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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.