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Finding the Fourth Proportional to 9,856.57, 14,777 and 5,691.85

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Solution

The fourth proportional to 9,856.57, 14,777 and 5,691.85 is: 8,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.57 : 14,777 = 5,691.85 : x
  2. Step 2: Convert to fraction form
    9,856.57/14,777 = 5,691.85/x
  3. Step 3: Cross multiply
    9,856.57x = 14,777 × 5,691.85
  4. Step 4: Simplify right side
    9,856.57x = 84,108,467.45
  5. Step 5: Solve for x
    x = 84,108,467.45/9,856.57
  6. Step 6: Final answer
    x = 8,533.24

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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.