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Finding the Fourth Proportional to 2,794.99, 4,192.47 and 686.59

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Solution

The fourth proportional to 2,794.99, 4,192.47 and 686.59 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.99 : 4,192.47 = 686.59 : x
  2. Step 2: Convert to fraction form
    2,794.99/4,192.47 = 686.59/x
  3. Step 3: Cross multiply
    2,794.99x = 4,192.47 × 686.59
  4. Step 4: Simplify right side
    2,794.99x = 2,878,507.98
  5. Step 5: Solve for x
    x = 2,878,507.98/2,794.99
  6. Step 6: Final answer
    x = 1,029.88

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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.