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Finding the Fourth Proportional to 6,807.60, 10,208.70 and 2,422.80

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Solution

The fourth proportional to 6,807.60, 10,208.70 and 2,422.80 is: 3,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.60 : 10,208.70 = 2,422.80 : x
  2. Step 2: Convert to fraction form
    6,807.60/10,208.70 = 2,422.80/x
  3. Step 3: Cross multiply
    6,807.60x = 10,208.70 × 2,422.80
  4. Step 4: Simplify right side
    6,807.60x = 24,733,638.36
  5. Step 5: Solve for x
    x = 24,733,638.36/6,807.60
  6. Step 6: Final answer
    x = 3,633.24

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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.