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Finding the Fourth Proportional to 4,546.82, 6,820.86 and 1,913.90

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Solution

The fourth proportional to 4,546.82, 6,820.86 and 1,913.90 is: 2,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.82 : 6,820.86 = 1,913.90 : x
  2. Step 2: Convert to fraction form
    4,546.82/6,820.86 = 1,913.90/x
  3. Step 3: Cross multiply
    4,546.82x = 6,820.86 × 1,913.90
  4. Step 4: Simplify right side
    4,546.82x = 13,054,443.95
  5. Step 5: Solve for x
    x = 13,054,443.95/4,546.82
  6. Step 6: Final answer
    x = 2,871.12

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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.