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Finding the Fourth Proportional to 2,809.69, 4,213.92 and 1,985.61

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Solution

The fourth proportional to 2,809.69, 4,213.92 and 1,985.61 is: 2,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.69 : 4,213.92 = 1,985.61 : x
  2. Step 2: Convert to fraction form
    2,809.69/4,213.92 = 1,985.61/x
  3. Step 3: Cross multiply
    2,809.69x = 4,213.92 × 1,985.61
  4. Step 4: Simplify right side
    2,809.69x = 8,367,224.94
  5. Step 5: Solve for x
    x = 8,367,224.94/2,809.69
  6. Step 6: Final answer
    x = 2,977.99

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1.5x scale

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.