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Finding the Fourth Proportional to 6,453.72, 9,683.10 and 2,071.80

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Solution

The fourth proportional to 6,453.72, 9,683.10 and 2,071.80 is: 3,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.72 : 9,683.10 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    6,453.72/9,683.10 = 2,071.80/x
  3. Step 3: Cross multiply
    6,453.72x = 9,683.10 × 2,071.80
  4. Step 4: Simplify right side
    6,453.72x = 20,061,446.58
  5. Step 5: Solve for x
    x = 20,061,446.58/6,453.72
  6. Step 6: Final answer
    x = 3,108.51

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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.