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Finding the Fourth Proportional to 6,890.42, 10,311.02 and 6,427.05

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Solution

The fourth proportional to 6,890.42, 10,311.02 and 6,427.05 is: 9,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.42 : 10,311.02 = 6,427.05 : x
  2. Step 2: Convert to fraction form
    6,890.42/10,311.02 = 6,427.05/x
  3. Step 3: Cross multiply
    6,890.42x = 10,311.02 × 6,427.05
  4. Step 4: Simplify right side
    6,890.42x = 66,269,412.47
  5. Step 5: Solve for x
    x = 66,269,412.47/6,890.42
  6. Step 6: Final answer
    x = 9,617.62

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Double scale
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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.