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Finding the Fourth Proportional to 8,226.42, 11,352.42 and 7,557

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Solution

The fourth proportional to 8,226.42, 11,352.42 and 7,557 is: 10,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.42 : 11,352.42 = 7,557 : x
  2. Step 2: Convert to fraction form
    8,226.42/11,352.42 = 7,557/x
  3. Step 3: Cross multiply
    8,226.42x = 11,352.42 × 7,557
  4. Step 4: Simplify right side
    8,226.42x = 85,790,237.94
  5. Step 5: Solve for x
    x = 85,790,237.94/8,226.42
  6. Step 6: Final answer
    x = 10,428.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.