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Finding the Fourth Proportional to 7,842.59, 11,763.95 and 1,999.19

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Solution

The fourth proportional to 7,842.59, 11,763.95 and 1,999.19 is: 2,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.59 : 11,763.95 = 1,999.19 : x
  2. Step 2: Convert to fraction form
    7,842.59/11,763.95 = 1,999.19/x
  3. Step 3: Cross multiply
    7,842.59x = 11,763.95 × 1,999.19
  4. Step 4: Simplify right side
    7,842.59x = 23,518,371.20
  5. Step 5: Solve for x
    x = 23,518,371.20/7,842.59
  6. Step 6: Final answer
    x = 2,998.80

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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.