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Finding the Fourth Proportional to 10,586.58, 15,849.09 and 9,176.78

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Solution

The fourth proportional to 10,586.58, 15,849.09 and 9,176.78 is: 13,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.58 : 15,849.09 = 9,176.78 : x
  2. Step 2: Convert to fraction form
    10,586.58/15,849.09 = 9,176.78/x
  3. Step 3: Cross multiply
    10,586.58x = 15,849.09 × 9,176.78
  4. Step 4: Simplify right side
    10,586.58x = 145,443,532.88
  5. Step 5: Solve for x
    x = 145,443,532.88/10,586.58
  6. Step 6: Final answer
    x = 13,738.48

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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.