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Finding the Fourth Proportional to 8,000, 11,035.12 and 5,311.34

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Solution

The fourth proportional to 8,000, 11,035.12 and 5,311.34 is: 7,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 11,035.12 = 5,311.34 : x
  2. Step 2: Convert to fraction form
    8,000/11,035.12 = 5,311.34/x
  3. Step 3: Cross multiply
    8,000x = 11,035.12 × 5,311.34
  4. Step 4: Simplify right side
    8,000x = 58,611,274.26
  5. Step 5: Solve for x
    x = 58,611,274.26/8,000
  6. Step 6: Final answer
    x = 7,326.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.