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Finding the Fourth Proportional to 6,377.46, 9,569.82 and 3,457.80

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Solution

The fourth proportional to 6,377.46, 9,569.82 and 3,457.80 is: 5,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.46 : 9,569.82 = 3,457.80 : x
  2. Step 2: Convert to fraction form
    6,377.46/9,569.82 = 3,457.80/x
  3. Step 3: Cross multiply
    6,377.46x = 9,569.82 × 3,457.80
  4. Step 4: Simplify right side
    6,377.46x = 33,090,523.60
  5. Step 5: Solve for x
    x = 33,090,523.60/6,377.46
  6. Step 6: Final answer
    x = 5,188.67

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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.