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Finding the Fourth Proportional to 8,382.78, 11,569.91 and 4,847.13

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Solution

The fourth proportional to 8,382.78, 11,569.91 and 4,847.13 is: 6,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.78 : 11,569.91 = 4,847.13 : x
  2. Step 2: Convert to fraction form
    8,382.78/11,569.91 = 4,847.13/x
  3. Step 3: Cross multiply
    8,382.78x = 11,569.91 × 4,847.13
  4. Step 4: Simplify right side
    8,382.78x = 56,080,857.86
  5. Step 5: Solve for x
    x = 56,080,857.86/8,382.78
  6. Step 6: Final answer
    x = 6,690.01

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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.