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Finding the Fourth Proportional to 6,484.62, 9,728.07 and 2,685.22

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Solution

The fourth proportional to 6,484.62, 9,728.07 and 2,685.22 is: 4,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.62 : 9,728.07 = 2,685.22 : x
  2. Step 2: Convert to fraction form
    6,484.62/9,728.07 = 2,685.22/x
  3. Step 3: Cross multiply
    6,484.62x = 9,728.07 × 2,685.22
  4. Step 4: Simplify right side
    6,484.62x = 26,122,008.13
  5. Step 5: Solve for x
    x = 26,122,008.13/6,484.62
  6. Step 6: Final answer
    x = 4,028.30

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1.5x scale

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.