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Finding the Fourth Proportional to 6,546.72, 9,820.20 and 1,616.40

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Solution

The fourth proportional to 6,546.72, 9,820.20 and 1,616.40 is: 2,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.72 : 9,820.20 = 1,616.40 : x
  2. Step 2: Convert to fraction form
    6,546.72/9,820.20 = 1,616.40/x
  3. Step 3: Cross multiply
    6,546.72x = 9,820.20 × 1,616.40
  4. Step 4: Simplify right side
    6,546.72x = 15,873,371.28
  5. Step 5: Solve for x
    x = 15,873,371.28/6,546.72
  6. Step 6: Final answer
    x = 2,424.63

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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.