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Finding the Fourth Proportional to 8,385.72, 11,572.23 and 4,848.85

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Solution

The fourth proportional to 8,385.72, 11,572.23 and 4,848.85 is: 6,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.72 : 11,572.23 = 4,848.85 : x
  2. Step 2: Convert to fraction form
    8,385.72/11,572.23 = 4,848.85/x
  3. Step 3: Cross multiply
    8,385.72x = 11,572.23 × 4,848.85
  4. Step 4: Simplify right side
    8,385.72x = 56,112,007.44
  5. Step 5: Solve for x
    x = 56,112,007.44/8,385.72
  6. Step 6: Final answer
    x = 6,691.38

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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.