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Finding the Fourth Proportional to 2,811.70, 3,946.10 and 2,811.70

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Solution

The fourth proportional to 2,811.70, 3,946.10 and 2,811.70 is: 3,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.70 : 3,946.10 = 2,811.70 : x
  2. Step 2: Convert to fraction form
    2,811.70/3,946.10 = 2,811.70/x
  3. Step 3: Cross multiply
    2,811.70x = 3,946.10 × 2,811.70
  4. Step 4: Simplify right side
    2,811.70x = 11,095,249.37
  5. Step 5: Solve for x
    x = 11,095,249.37/2,811.70
  6. Step 6: Final answer
    x = 3,946.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.