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Finding the Fourth Proportional to 7,773.19, 11,659.75 and 1,929.80

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Solution

The fourth proportional to 7,773.19, 11,659.75 and 1,929.80 is: 2,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.19 : 11,659.75 = 1,929.80 : x
  2. Step 2: Convert to fraction form
    7,773.19/11,659.75 = 1,929.80/x
  3. Step 3: Cross multiply
    7,773.19x = 11,659.75 × 1,929.80
  4. Step 4: Simplify right side
    7,773.19x = 22,500,977.08
  5. Step 5: Solve for x
    x = 22,500,977.08/7,773.19
  6. Step 6: Final answer
    x = 2,894.69

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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.