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Finding the Fourth Proportional to 8,537.68, 11,768.52 and 6,438.16

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Solution

The fourth proportional to 8,537.68, 11,768.52 and 6,438.16 is: 8,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.68 : 11,768.52 = 6,438.16 : x
  2. Step 2: Convert to fraction form
    8,537.68/11,768.52 = 6,438.16/x
  3. Step 3: Cross multiply
    8,537.68x = 11,768.52 × 6,438.16
  4. Step 4: Simplify right side
    8,537.68x = 75,767,614.72
  5. Step 5: Solve for x
    x = 75,767,614.72/8,537.68
  6. Step 6: Final answer
    x = 8,874.50

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