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Finding the Fourth Proportional to 6,497.80, 9,740.30 and 3,211.40

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Solution

The fourth proportional to 6,497.80, 9,740.30 and 3,211.40 is: 4,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.80 : 9,740.30 = 3,211.40 : x
  2. Step 2: Convert to fraction form
    6,497.80/9,740.30 = 3,211.40/x
  3. Step 3: Cross multiply
    6,497.80x = 9,740.30 × 3,211.40
  4. Step 4: Simplify right side
    6,497.80x = 31,279,999.42
  5. Step 5: Solve for x
    x = 31,279,999.42/6,497.80
  6. Step 6: Final answer
    x = 4,813.94

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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.