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Finding the Fourth Proportional to 8,000.61, 11,995.10 and 3,782.37

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Solution

The fourth proportional to 8,000.61, 11,995.10 and 3,782.37 is: 5,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.61 : 11,995.10 = 3,782.37 : x
  2. Step 2: Convert to fraction form
    8,000.61/11,995.10 = 3,782.37/x
  3. Step 3: Cross multiply
    8,000.61x = 11,995.10 × 3,782.37
  4. Step 4: Simplify right side
    8,000.61x = 45,369,887.48
  5. Step 5: Solve for x
    x = 45,369,887.48/8,000.61
  6. Step 6: Final answer
    x = 5,670.80

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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.