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Finding the Fourth Proportional to 6,945.60, 10,411.60 and 2,784.48

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Solution

The fourth proportional to 6,945.60, 10,411.60 and 2,784.48 is: 4,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.60 : 10,411.60 = 2,784.48 : x
  2. Step 2: Convert to fraction form
    6,945.60/10,411.60 = 2,784.48/x
  3. Step 3: Cross multiply
    6,945.60x = 10,411.60 × 2,784.48
  4. Step 4: Simplify right side
    6,945.60x = 28,990,891.97
  5. Step 5: Solve for x
    x = 28,990,891.97/6,945.60
  6. Step 6: Final answer
    x = 4,173.99

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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.