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Finding the Fourth Proportional to 8,372, 11,553.72 and 4,646

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Solution

The fourth proportional to 8,372, 11,553.72 and 4,646 is: 6,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372 : 11,553.72 = 4,646 : x
  2. Step 2: Convert to fraction form
    8,372/11,553.72 = 4,646/x
  3. Step 3: Cross multiply
    8,372x = 11,553.72 × 4,646
  4. Step 4: Simplify right side
    8,372x = 53,678,583.12
  5. Step 5: Solve for x
    x = 53,678,583.12/8,372
  6. Step 6: Final answer
    x = 6,411.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.