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Finding the Fourth Proportional to 8,532.72, 11,773.80 and 4,806

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Solution

The fourth proportional to 8,532.72, 11,773.80 and 4,806 is: 6,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.72 : 11,773.80 = 4,806 : x
  2. Step 2: Convert to fraction form
    8,532.72/11,773.80 = 4,806/x
  3. Step 3: Cross multiply
    8,532.72x = 11,773.80 × 4,806
  4. Step 4: Simplify right side
    8,532.72x = 56,584,882.80
  5. Step 5: Solve for x
    x = 56,584,882.80/8,532.72
  6. Step 6: Final answer
    x = 6,631.52

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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.