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Finding the Fourth Proportional to 7,842.17, 11,763.18 and 1,998.69

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Solution

The fourth proportional to 7,842.17, 11,763.18 and 1,998.69 is: 2,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.17 : 11,763.18 = 1,998.69 : x
  2. Step 2: Convert to fraction form
    7,842.17/11,763.18 = 1,998.69/x
  3. Step 3: Cross multiply
    7,842.17x = 11,763.18 × 1,998.69
  4. Step 4: Simplify right side
    7,842.17x = 23,510,950.23
  5. Step 5: Solve for x
    x = 23,510,950.23/7,842.17
  6. Step 6: Final answer
    x = 2,998.02

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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.