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Finding the Fourth Proportional to 6,387.30, 9,563.64 and 3,302.82

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Solution

The fourth proportional to 6,387.30, 9,563.64 and 3,302.82 is: 4,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.30 : 9,563.64 = 3,302.82 : x
  2. Step 2: Convert to fraction form
    6,387.30/9,563.64 = 3,302.82/x
  3. Step 3: Cross multiply
    6,387.30x = 9,563.64 × 3,302.82
  4. Step 4: Simplify right side
    6,387.30x = 31,586,981.46
  5. Step 5: Solve for x
    x = 31,586,981.46/6,387.30
  6. Step 6: Final answer
    x = 4,945.28

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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.