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Finding the Fourth Proportional to 6,497.21, 9,737.62 and 3,209.42

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Solution

The fourth proportional to 6,497.21, 9,737.62 and 3,209.42 is: 4,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.21 : 9,737.62 = 3,209.42 : x
  2. Step 2: Convert to fraction form
    6,497.21/9,737.62 = 3,209.42/x
  3. Step 3: Cross multiply
    6,497.21x = 9,737.62 × 3,209.42
  4. Step 4: Simplify right side
    6,497.21x = 31,252,128.70
  5. Step 5: Solve for x
    x = 31,252,128.70/6,497.21
  6. Step 6: Final answer
    x = 4,810.08

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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.