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Finding the Fourth Proportional to 8,856.75, 12,223.53 and 5,712.33

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Solution

The fourth proportional to 8,856.75, 12,223.53 and 5,712.33 is: 7,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.75 : 12,223.53 = 5,712.33 : x
  2. Step 2: Convert to fraction form
    8,856.75/12,223.53 = 5,712.33/x
  3. Step 3: Cross multiply
    8,856.75x = 12,223.53 × 5,712.33
  4. Step 4: Simplify right side
    8,856.75x = 69,824,837.12
  5. Step 5: Solve for x
    x = 69,824,837.12/8,856.75
  6. Step 6: Final answer
    x = 7,883.80

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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.