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Finding the Fourth Proportional to 6,664.80, 9,997.20 and 4,202.40

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Solution

The fourth proportional to 6,664.80, 9,997.20 and 4,202.40 is: 6,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.80 : 9,997.20 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    6,664.80/9,997.20 = 4,202.40/x
  3. Step 3: Cross multiply
    6,664.80x = 9,997.20 × 4,202.40
  4. Step 4: Simplify right side
    6,664.80x = 42,012,233.28
  5. Step 5: Solve for x
    x = 42,012,233.28/6,664.80
  6. Step 6: Final answer
    x = 6,303.60

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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.