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Finding the Fourth Proportional to 11,700.78, 16,146.77 and 6,395.64

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Solution

The fourth proportional to 11,700.78, 16,146.77 and 6,395.64 is: 8,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.78 : 16,146.77 = 6,395.64 : x
  2. Step 2: Convert to fraction form
    11,700.78/16,146.77 = 6,395.64/x
  3. Step 3: Cross multiply
    11,700.78x = 16,146.77 × 6,395.64
  4. Step 4: Simplify right side
    11,700.78x = 103,268,896.10
  5. Step 5: Solve for x
    x = 103,268,896.10/11,700.78
  6. Step 6: Final answer
    x = 8,825.81

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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.