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Finding the Fourth Proportional to 1,991.46, 2,984.94 and 1,015.50

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Solution

The fourth proportional to 1,991.46, 2,984.94 and 1,015.50 is: 1,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.46 : 2,984.94 = 1,015.50 : x
  2. Step 2: Convert to fraction form
    1,991.46/2,984.94 = 1,015.50/x
  3. Step 3: Cross multiply
    1,991.46x = 2,984.94 × 1,015.50
  4. Step 4: Simplify right side
    1,991.46x = 3,031,206.57
  5. Step 5: Solve for x
    x = 3,031,206.57/1,991.46
  6. Step 6: Final answer
    x = 1,522.10

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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.