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Finding the Fourth Proportional to 8,747.24, 13,066.74 and 7,868.32

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Solution

The fourth proportional to 8,747.24, 13,066.74 and 7,868.32 is: 11,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.24 : 13,066.74 = 7,868.32 : x
  2. Step 2: Convert to fraction form
    8,747.24/13,066.74 = 7,868.32/x
  3. Step 3: Cross multiply
    8,747.24x = 13,066.74 × 7,868.32
  4. Step 4: Simplify right side
    8,747.24x = 102,813,291.68
  5. Step 5: Solve for x
    x = 102,813,291.68/8,747.24
  6. Step 6: Final answer
    x = 11,753.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.