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Finding the Fourth Proportional to 6,436.64, 9,661.16 and 4,246.88

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Solution

The fourth proportional to 6,436.64, 9,661.16 and 4,246.88 is: 6,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.64 : 9,661.16 = 4,246.88 : x
  2. Step 2: Convert to fraction form
    6,436.64/9,661.16 = 4,246.88/x
  3. Step 3: Cross multiply
    6,436.64x = 9,661.16 × 4,246.88
  4. Step 4: Simplify right side
    6,436.64x = 41,029,787.18
  5. Step 5: Solve for x
    x = 41,029,787.18/6,436.64
  6. Step 6: Final answer
    x = 6,374.41

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Why These Related Problems?

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