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Finding the Fourth Proportional to 5,462.60, 8,203.80 and 4,782.20

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Solution

The fourth proportional to 5,462.60, 8,203.80 and 4,782.20 is: 7,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.60 : 8,203.80 = 4,782.20 : x
  2. Step 2: Convert to fraction form
    5,462.60/8,203.80 = 4,782.20/x
  3. Step 3: Cross multiply
    5,462.60x = 8,203.80 × 4,782.20
  4. Step 4: Simplify right side
    5,462.60x = 39,232,212.36
  5. Step 5: Solve for x
    x = 39,232,212.36/5,462.60
  6. Step 6: Final answer
    x = 7,181.97

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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.