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Finding the Fourth Proportional to 8,644.34, 12,945.72 and 4,935.32

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Solution

The fourth proportional to 8,644.34, 12,945.72 and 4,935.32 is: 7,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.34 : 12,945.72 = 4,935.32 : x
  2. Step 2: Convert to fraction form
    8,644.34/12,945.72 = 4,935.32/x
  3. Step 3: Cross multiply
    8,644.34x = 12,945.72 × 4,935.32
  4. Step 4: Simplify right side
    8,644.34x = 63,891,318.21
  5. Step 5: Solve for x
    x = 63,891,318.21/8,644.34
  6. Step 6: Final answer
    x = 7,391.12

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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.