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Finding the Fourth Proportional to 8,000.98, 11,999.30 and 4,106.50

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Solution

The fourth proportional to 8,000.98, 11,999.30 and 4,106.50 is: 6,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.98 : 11,999.30 = 4,106.50 : x
  2. Step 2: Convert to fraction form
    8,000.98/11,999.30 = 4,106.50/x
  3. Step 3: Cross multiply
    8,000.98x = 11,999.30 × 4,106.50
  4. Step 4: Simplify right side
    8,000.98x = 49,275,125.45
  5. Step 5: Solve for x
    x = 49,275,125.45/8,000.98
  6. Step 6: Final answer
    x = 6,158.64

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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.