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Finding the Fourth Proportional to 6,471.80, 9,683.10 and 4,000.49

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Solution

The fourth proportional to 6,471.80, 9,683.10 and 4,000.49 is: 5,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.80 : 9,683.10 = 4,000.49 : x
  2. Step 2: Convert to fraction form
    6,471.80/9,683.10 = 4,000.49/x
  3. Step 3: Cross multiply
    6,471.80x = 9,683.10 × 4,000.49
  4. Step 4: Simplify right side
    6,471.80x = 38,737,144.72
  5. Step 5: Solve for x
    x = 38,737,144.72/6,471.80
  6. Step 6: Final answer
    x = 5,985.53

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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.