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Finding the Fourth Proportional to 8,447.68, 11,652.32 and 5,301.12

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Solution

The fourth proportional to 8,447.68, 11,652.32 and 5,301.12 is: 7,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.68 : 11,652.32 = 5,301.12 : x
  2. Step 2: Convert to fraction form
    8,447.68/11,652.32 = 5,301.12/x
  3. Step 3: Cross multiply
    8,447.68x = 11,652.32 × 5,301.12
  4. Step 4: Simplify right side
    8,447.68x = 61,770,346.60
  5. Step 5: Solve for x
    x = 61,770,346.60/8,447.68
  6. Step 6: Final answer
    x = 7,312.11

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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.