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Finding the Fourth Proportional to 6,409.64, 9,616.70 and 3,333.80

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Solution

The fourth proportional to 6,409.64, 9,616.70 and 3,333.80 is: 5,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.64 : 9,616.70 = 3,333.80 : x
  2. Step 2: Convert to fraction form
    6,409.64/9,616.70 = 3,333.80/x
  3. Step 3: Cross multiply
    6,409.64x = 9,616.70 × 3,333.80
  4. Step 4: Simplify right side
    6,409.64x = 32,060,154.46
  5. Step 5: Solve for x
    x = 32,060,154.46/6,409.64
  6. Step 6: Final answer
    x = 5,001.87

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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.