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Finding the Fourth Proportional to 10,149.54, 14,005.41 and 5,672.67

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Solution

The fourth proportional to 10,149.54, 14,005.41 and 5,672.67 is: 7,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.54 : 14,005.41 = 5,672.67 : x
  2. Step 2: Convert to fraction form
    10,149.54/14,005.41 = 5,672.67/x
  3. Step 3: Cross multiply
    10,149.54x = 14,005.41 × 5,672.67
  4. Step 4: Simplify right side
    10,149.54x = 79,448,069.14
  5. Step 5: Solve for x
    x = 79,448,069.14/10,149.54
  6. Step 6: Final answer
    x = 7,827.75

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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.