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Finding the Fourth Proportional to 7,842.38, 11,763.47 and 1,998.92

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Solution

The fourth proportional to 7,842.38, 11,763.47 and 1,998.92 is: 2,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.38 : 11,763.47 = 1,998.92 : x
  2. Step 2: Convert to fraction form
    7,842.38/11,763.47 = 1,998.92/x
  3. Step 3: Cross multiply
    7,842.38x = 11,763.47 × 1,998.92
  4. Step 4: Simplify right side
    7,842.38x = 23,514,166.64
  5. Step 5: Solve for x
    x = 23,514,166.64/7,842.38
  6. Step 6: Final answer
    x = 2,998.35

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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.