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Finding the Fourth Proportional to 3,473.76, 5,206.12 and 2,649

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Solution

The fourth proportional to 3,473.76, 5,206.12 and 2,649 is: 3,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.76 : 5,206.12 = 2,649 : x
  2. Step 2: Convert to fraction form
    3,473.76/5,206.12 = 2,649/x
  3. Step 3: Cross multiply
    3,473.76x = 5,206.12 × 2,649
  4. Step 4: Simplify right side
    3,473.76x = 13,791,011.88
  5. Step 5: Solve for x
    x = 13,791,011.88/3,473.76
  6. Step 6: Final answer
    x = 3,970.05

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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.