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Finding the Fourth Proportional to 5,610.90, 8,412.30 and 3,664.20

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Solution

The fourth proportional to 5,610.90, 8,412.30 and 3,664.20 is: 5,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.90 : 8,412.30 = 3,664.20 : x
  2. Step 2: Convert to fraction form
    5,610.90/8,412.30 = 3,664.20/x
  3. Step 3: Cross multiply
    5,610.90x = 8,412.30 × 3,664.20
  4. Step 4: Simplify right side
    5,610.90x = 30,824,349.66
  5. Step 5: Solve for x
    x = 30,824,349.66/5,610.90
  6. Step 6: Final answer
    x = 5,493.66

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1.5x scale

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.