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Finding the Fourth Proportional to 6,404.17, 8,839.43 and 4,172.17

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Solution

The fourth proportional to 6,404.17, 8,839.43 and 4,172.17 is: 5,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.17 : 8,839.43 = 4,172.17 : x
  2. Step 2: Convert to fraction form
    6,404.17/8,839.43 = 4,172.17/x
  3. Step 3: Cross multiply
    6,404.17x = 8,839.43 × 4,172.17
  4. Step 4: Simplify right side
    6,404.17x = 36,879,604.66
  5. Step 5: Solve for x
    x = 36,879,604.66/6,404.17
  6. Step 6: Final answer
    x = 5,758.69

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1.5x scale

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.