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Finding the Fourth Proportional to 10,715.91, 14,778.09 and 7,352.79

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Solution

The fourth proportional to 10,715.91, 14,778.09 and 7,352.79 is: 10,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.91 : 14,778.09 = 7,352.79 : x
  2. Step 2: Convert to fraction form
    10,715.91/14,778.09 = 7,352.79/x
  3. Step 3: Cross multiply
    10,715.91x = 14,778.09 × 7,352.79
  4. Step 4: Simplify right side
    10,715.91x = 108,660,192.37
  5. Step 5: Solve for x
    x = 108,660,192.37/10,715.91
  6. Step 6: Final answer
    x = 10,140.08

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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.