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Finding the Fourth Proportional to 6,440.40, 9,659.16 and 2,974.32

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Solution

The fourth proportional to 6,440.40, 9,659.16 and 2,974.32 is: 4,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.40 : 9,659.16 = 2,974.32 : x
  2. Step 2: Convert to fraction form
    6,440.40/9,659.16 = 2,974.32/x
  3. Step 3: Cross multiply
    6,440.40x = 9,659.16 × 2,974.32
  4. Step 4: Simplify right side
    6,440.40x = 28,729,432.77
  5. Step 5: Solve for x
    x = 28,729,432.77/6,440.40
  6. Step 6: Final answer
    x = 4,460.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.