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Finding the Fourth Proportional to 10,065.70, 15,059.67 and 5,451.94

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Solution

The fourth proportional to 10,065.70, 15,059.67 and 5,451.94 is: 8,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.70 : 15,059.67 = 5,451.94 : x
  2. Step 2: Convert to fraction form
    10,065.70/15,059.67 = 5,451.94/x
  3. Step 3: Cross multiply
    10,065.70x = 15,059.67 × 5,451.94
  4. Step 4: Simplify right side
    10,065.70x = 82,104,417.26
  5. Step 5: Solve for x
    x = 82,104,417.26/10,065.70
  6. Step 6: Final answer
    x = 8,156.85

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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.