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Finding the Fourth Proportional to 10,610.34, 15,915.81 and 2,819.16

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Solution

The fourth proportional to 10,610.34, 15,915.81 and 2,819.16 is: 4,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.34 : 15,915.81 = 2,819.16 : x
  2. Step 2: Convert to fraction form
    10,610.34/15,915.81 = 2,819.16/x
  3. Step 3: Cross multiply
    10,610.34x = 15,915.81 × 2,819.16
  4. Step 4: Simplify right side
    10,610.34x = 44,869,214.92
  5. Step 5: Solve for x
    x = 44,869,214.92/10,610.34
  6. Step 6: Final answer
    x = 4,228.82

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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.