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Finding the Fourth Proportional to 9,723.94, 13,420.56 and 6,188.32

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Solution

The fourth proportional to 9,723.94, 13,420.56 and 6,188.32 is: 8,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.94 : 13,420.56 = 6,188.32 : x
  2. Step 2: Convert to fraction form
    9,723.94/13,420.56 = 6,188.32/x
  3. Step 3: Cross multiply
    9,723.94x = 13,420.56 × 6,188.32
  4. Step 4: Simplify right side
    9,723.94x = 83,050,719.86
  5. Step 5: Solve for x
    x = 83,050,719.86/9,723.94
  6. Step 6: Final answer
    x = 8,540.85

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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.