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Finding the Fourth Proportional to 10,519.87, 15,758.34 and 6,558.16

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Solution

The fourth proportional to 10,519.87, 15,758.34 and 6,558.16 is: 9,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.87 : 15,758.34 = 6,558.16 : x
  2. Step 2: Convert to fraction form
    10,519.87/15,758.34 = 6,558.16/x
  3. Step 3: Cross multiply
    10,519.87x = 15,758.34 × 6,558.16
  4. Step 4: Simplify right side
    10,519.87x = 103,345,715.05
  5. Step 5: Solve for x
    x = 103,345,715.05/10,519.87
  6. Step 6: Final answer
    x = 9,823.86

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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.