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Finding the Fourth Proportional to 2,784.06, 4,175.64 and 934.74

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Solution

The fourth proportional to 2,784.06, 4,175.64 and 934.74 is: 1,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.06 : 4,175.64 = 934.74 : x
  2. Step 2: Convert to fraction form
    2,784.06/4,175.64 = 934.74/x
  3. Step 3: Cross multiply
    2,784.06x = 4,175.64 × 934.74
  4. Step 4: Simplify right side
    2,784.06x = 3,903,137.73
  5. Step 5: Solve for x
    x = 3,903,137.73/2,784.06
  6. Step 6: Final answer
    x = 1,401.96

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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.