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Finding the Fourth Proportional to 5,129.60, 7,694.08 and 1,842.60

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Solution

The fourth proportional to 5,129.60, 7,694.08 and 1,842.60 is: 2,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.60 : 7,694.08 = 1,842.60 : x
  2. Step 2: Convert to fraction form
    5,129.60/7,694.08 = 1,842.60/x
  3. Step 3: Cross multiply
    5,129.60x = 7,694.08 × 1,842.60
  4. Step 4: Simplify right side
    5,129.60x = 14,177,111.81
  5. Step 5: Solve for x
    x = 14,177,111.81/5,129.60
  6. Step 6: Final answer
    x = 2,763.79

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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.