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Finding the Fourth Proportional to 6,484.70, 9,727.05 and 2,102.60

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Solution

The fourth proportional to 6,484.70, 9,727.05 and 2,102.60 is: 3,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.70 : 9,727.05 = 2,102.60 : x
  2. Step 2: Convert to fraction form
    6,484.70/9,727.05 = 2,102.60/x
  3. Step 3: Cross multiply
    6,484.70x = 9,727.05 × 2,102.60
  4. Step 4: Simplify right side
    6,484.70x = 20,452,095.33
  5. Step 5: Solve for x
    x = 20,452,095.33/6,484.70
  6. Step 6: Final answer
    x = 3,153.90

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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.