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Finding the Fourth Proportional to 6,647.64, 9,980.69 and 3,363.05

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Solution

The fourth proportional to 6,647.64, 9,980.69 and 3,363.05 is: 5,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.64 : 9,980.69 = 3,363.05 : x
  2. Step 2: Convert to fraction form
    6,647.64/9,980.69 = 3,363.05/x
  3. Step 3: Cross multiply
    6,647.64x = 9,980.69 × 3,363.05
  4. Step 4: Simplify right side
    6,647.64x = 33,565,492.79
  5. Step 5: Solve for x
    x = 33,565,492.79/6,647.64
  6. Step 6: Final answer
    x = 5,049.23

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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.