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Finding the Fourth Proportional to 8,207.36, 11,325.12 and 5,690.24

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Solution

The fourth proportional to 8,207.36, 11,325.12 and 5,690.24 is: 7,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.36 : 11,325.12 = 5,690.24 : x
  2. Step 2: Convert to fraction form
    8,207.36/11,325.12 = 5,690.24/x
  3. Step 3: Cross multiply
    8,207.36x = 11,325.12 × 5,690.24
  4. Step 4: Simplify right side
    8,207.36x = 64,442,650.83
  5. Step 5: Solve for x
    x = 64,442,650.83/8,207.36
  6. Step 6: Final answer
    x = 7,851.81

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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.