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Finding the Fourth Proportional to 7,841.40, 11,762.12 and 1,998.04

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Solution

The fourth proportional to 7,841.40, 11,762.12 and 1,998.04 is: 2,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.40 : 11,762.12 = 1,998.04 : x
  2. Step 2: Convert to fraction form
    7,841.40/11,762.12 = 1,998.04/x
  3. Step 3: Cross multiply
    7,841.40x = 11,762.12 × 1,998.04
  4. Step 4: Simplify right side
    7,841.40x = 23,501,186.24
  5. Step 5: Solve for x
    x = 23,501,186.24/7,841.40
  6. Step 6: Final answer
    x = 2,997.07

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Similar ratio
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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.