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Finding the Fourth Proportional to 3,558.77, 5,337.74 and 961.91

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Solution

The fourth proportional to 3,558.77, 5,337.74 and 961.91 is: 1,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.77 : 5,337.74 = 961.91 : x
  2. Step 2: Convert to fraction form
    3,558.77/5,337.74 = 961.91/x
  3. Step 3: Cross multiply
    3,558.77x = 5,337.74 × 961.91
  4. Step 4: Simplify right side
    3,558.77x = 5,134,393.99
  5. Step 5: Solve for x
    x = 5,134,393.99/3,558.77
  6. Step 6: Final answer
    x = 1,442.75

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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.