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Finding the Fourth Proportional to 5,374.81, 8,063.16 and 1,911.25

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Solution

The fourth proportional to 5,374.81, 8,063.16 and 1,911.25 is: 2,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.81 : 8,063.16 = 1,911.25 : x
  2. Step 2: Convert to fraction form
    5,374.81/8,063.16 = 1,911.25/x
  3. Step 3: Cross multiply
    5,374.81x = 8,063.16 × 1,911.25
  4. Step 4: Simplify right side
    5,374.81x = 15,410,714.55
  5. Step 5: Solve for x
    x = 15,410,714.55/5,374.81
  6. Step 6: Final answer
    x = 2,867.21

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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.