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Finding the Fourth Proportional to 11,375.64, 15,697.18 and 6,406.68

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Solution

The fourth proportional to 11,375.64, 15,697.18 and 6,406.68 is: 8,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.64 : 15,697.18 = 6,406.68 : x
  2. Step 2: Convert to fraction form
    11,375.64/15,697.18 = 6,406.68/x
  3. Step 3: Cross multiply
    11,375.64x = 15,697.18 × 6,406.68
  4. Step 4: Simplify right side
    11,375.64x = 100,566,809.16
  5. Step 5: Solve for x
    x = 100,566,809.16/11,375.64
  6. Step 6: Final answer
    x = 8,840.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.