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Finding the Fourth Proportional to 6,410.52, 9,615.78 and 3,490.20

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Solution

The fourth proportional to 6,410.52, 9,615.78 and 3,490.20 is: 5,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.52 : 9,615.78 = 3,490.20 : x
  2. Step 2: Convert to fraction form
    6,410.52/9,615.78 = 3,490.20/x
  3. Step 3: Cross multiply
    6,410.52x = 9,615.78 × 3,490.20
  4. Step 4: Simplify right side
    6,410.52x = 33,560,995.36
  5. Step 5: Solve for x
    x = 33,560,995.36/6,410.52
  6. Step 6: Final answer
    x = 5,235.30

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Similar ratio
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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.