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Finding the Fourth Proportional to 6,605.64, 9,927.90 and 4,311.72

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Solution

The fourth proportional to 6,605.64, 9,927.90 and 4,311.72 is: 6,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.64 : 9,927.90 = 4,311.72 : x
  2. Step 2: Convert to fraction form
    6,605.64/9,927.90 = 4,311.72/x
  3. Step 3: Cross multiply
    6,605.64x = 9,927.90 × 4,311.72
  4. Step 4: Simplify right side
    6,605.64x = 42,806,324.99
  5. Step 5: Solve for x
    x = 42,806,324.99/6,605.64
  6. Step 6: Final answer
    x = 6,480.27

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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.