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Finding the Fourth Proportional to 6,970.86, 10,453.86 and 2,809.79

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Solution

The fourth proportional to 6,970.86, 10,453.86 and 2,809.79 is: 4,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.86 : 10,453.86 = 2,809.79 : x
  2. Step 2: Convert to fraction form
    6,970.86/10,453.86 = 2,809.79/x
  3. Step 3: Cross multiply
    6,970.86x = 10,453.86 × 2,809.79
  4. Step 4: Simplify right side
    6,970.86x = 29,373,138.22
  5. Step 5: Solve for x
    x = 29,373,138.22/6,970.86
  6. Step 6: Final answer
    x = 4,213.70

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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.