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Finding the Fourth Proportional to 5,848.20, 8,772.30 and 2,149.20

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Solution

The fourth proportional to 5,848.20, 8,772.30 and 2,149.20 is: 3,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.20 : 8,772.30 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    5,848.20/8,772.30 = 2,149.20/x
  3. Step 3: Cross multiply
    5,848.20x = 8,772.30 × 2,149.20
  4. Step 4: Simplify right side
    5,848.20x = 18,853,427.16
  5. Step 5: Solve for x
    x = 18,853,427.16/5,848.20
  6. Step 6: Final answer
    x = 3,223.80

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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.