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Finding the Fourth Proportional to 8,000.13, 12,000.20 and 4,102.05

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Solution

The fourth proportional to 8,000.13, 12,000.20 and 4,102.05 is: 6,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.13 : 12,000.20 = 4,102.05 : x
  2. Step 2: Convert to fraction form
    8,000.13/12,000.20 = 4,102.05/x
  3. Step 3: Cross multiply
    8,000.13x = 12,000.20 × 4,102.05
  4. Step 4: Simplify right side
    8,000.13x = 49,225,420.41
  5. Step 5: Solve for x
    x = 49,225,420.41/8,000.13
  6. Step 6: Final answer
    x = 6,153.08

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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.