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Finding the Fourth Proportional to 6,484.36, 9,711.90 and 3,881.80

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Solution

The fourth proportional to 6,484.36, 9,711.90 and 3,881.80 is: 5,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.36 : 9,711.90 = 3,881.80 : x
  2. Step 2: Convert to fraction form
    6,484.36/9,711.90 = 3,881.80/x
  3. Step 3: Cross multiply
    6,484.36x = 9,711.90 × 3,881.80
  4. Step 4: Simplify right side
    6,484.36x = 37,699,653.42
  5. Step 5: Solve for x
    x = 37,699,653.42/6,484.36
  6. Step 6: Final answer
    x = 5,813.94

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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.