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Finding the Fourth Proportional to 6,503.40, 9,738.90 and 6,211.80

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Solution

The fourth proportional to 6,503.40, 9,738.90 and 6,211.80 is: 9,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.40 : 9,738.90 = 6,211.80 : x
  2. Step 2: Convert to fraction form
    6,503.40/9,738.90 = 6,211.80/x
  3. Step 3: Cross multiply
    6,503.40x = 9,738.90 × 6,211.80
  4. Step 4: Simplify right side
    6,503.40x = 60,496,099.02
  5. Step 5: Solve for x
    x = 60,496,099.02/6,503.40
  6. Step 6: Final answer
    x = 9,302.23

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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.