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Finding the Fourth Proportional to 7,838.08, 11,759 and 2,573.40

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Solution

The fourth proportional to 7,838.08, 11,759 and 2,573.40 is: 3,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.08 : 11,759 = 2,573.40 : x
  2. Step 2: Convert to fraction form
    7,838.08/11,759 = 2,573.40/x
  3. Step 3: Cross multiply
    7,838.08x = 11,759 × 2,573.40
  4. Step 4: Simplify right side
    7,838.08x = 30,260,610.60
  5. Step 5: Solve for x
    x = 30,260,610.60/7,838.08
  6. Step 6: Final answer
    x = 3,860.72

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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.