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Finding the Fourth Proportional to 2,783.97, 4,174.34 and 934.74

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Solution

The fourth proportional to 2,783.97, 4,174.34 and 934.74 is: 1,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.97 : 4,174.34 = 934.74 : x
  2. Step 2: Convert to fraction form
    2,783.97/4,174.34 = 934.74/x
  3. Step 3: Cross multiply
    2,783.97x = 4,174.34 × 934.74
  4. Step 4: Simplify right side
    2,783.97x = 3,901,917.90
  5. Step 5: Solve for x
    x = 3,901,917.90/2,783.97
  6. Step 6: Final answer
    x = 1,401.57

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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.