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Finding the Fourth Proportional to 6,616.41, 9,913.67 and 4,145.10

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Solution

The fourth proportional to 6,616.41, 9,913.67 and 4,145.10 is: 6,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.41 : 9,913.67 = 4,145.10 : x
  2. Step 2: Convert to fraction form
    6,616.41/9,913.67 = 4,145.10/x
  3. Step 3: Cross multiply
    6,616.41x = 9,913.67 × 4,145.10
  4. Step 4: Simplify right side
    6,616.41x = 41,093,153.52
  5. Step 5: Solve for x
    x = 41,093,153.52/6,616.41
  6. Step 6: Final answer
    x = 6,210.79

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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.