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Finding the Fourth Proportional to 2,794.84, 4,192.29 and 714.86

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Solution

The fourth proportional to 2,794.84, 4,192.29 and 714.86 is: 1,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.84 : 4,192.29 = 714.86 : x
  2. Step 2: Convert to fraction form
    2,794.84/4,192.29 = 714.86/x
  3. Step 3: Cross multiply
    2,794.84x = 4,192.29 × 714.86
  4. Step 4: Simplify right side
    2,794.84x = 2,996,879.47
  5. Step 5: Solve for x
    x = 2,996,879.47/2,794.84
  6. Step 6: Final answer
    x = 1,072.29

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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.