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Finding the Fourth Proportional to 7,842.42, 11,763.07 and 1,999.06

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Solution

The fourth proportional to 7,842.42, 11,763.07 and 1,999.06 is: 2,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.42 : 11,763.07 = 1,999.06 : x
  2. Step 2: Convert to fraction form
    7,842.42/11,763.07 = 1,999.06/x
  3. Step 3: Cross multiply
    7,842.42x = 11,763.07 × 1,999.06
  4. Step 4: Simplify right side
    7,842.42x = 23,515,082.71
  5. Step 5: Solve for x
    x = 23,515,082.71/7,842.42
  6. Step 6: Final answer
    x = 2,998.45

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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.