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Finding the Fourth Proportional to 10,188.54, 15,257.99 and 7,059.71

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Solution

The fourth proportional to 10,188.54, 15,257.99 and 7,059.71 is: 10,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.54 : 15,257.99 = 7,059.71 : x
  2. Step 2: Convert to fraction form
    10,188.54/15,257.99 = 7,059.71/x
  3. Step 3: Cross multiply
    10,188.54x = 15,257.99 × 7,059.71
  4. Step 4: Simplify right side
    10,188.54x = 107,716,872.99
  5. Step 5: Solve for x
    x = 107,716,872.99/10,188.54
  6. Step 6: Final answer
    x = 10,572.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.