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Finding the Fourth Proportional to 7,841.89, 11,762.90 and 1,998.50

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Solution

The fourth proportional to 7,841.89, 11,762.90 and 1,998.50 is: 2,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.89 : 11,762.90 = 1,998.50 : x
  2. Step 2: Convert to fraction form
    7,841.89/11,762.90 = 1,998.50/x
  3. Step 3: Cross multiply
    7,841.89x = 11,762.90 × 1,998.50
  4. Step 4: Simplify right side
    7,841.89x = 23,508,155.65
  5. Step 5: Solve for x
    x = 23,508,155.65/7,841.89
  6. Step 6: Final answer
    x = 2,997.77

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Double scale
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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.