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Finding the Fourth Proportional to 6,450, 9,656.64 and 4,252.02

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Solution

The fourth proportional to 6,450, 9,656.64 and 4,252.02 is: 6,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450 : 9,656.64 = 4,252.02 : x
  2. Step 2: Convert to fraction form
    6,450/9,656.64 = 4,252.02/x
  3. Step 3: Cross multiply
    6,450x = 9,656.64 × 4,252.02
  4. Step 4: Simplify right side
    6,450x = 41,060,226.41
  5. Step 5: Solve for x
    x = 41,060,226.41/6,450
  6. Step 6: Final answer
    x = 6,365.93

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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.