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Finding the Fourth Proportional to 1,911.10, 2,867.74 and 815.36

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Solution

The fourth proportional to 1,911.10, 2,867.74 and 815.36 is: 1,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.10 : 2,867.74 = 815.36 : x
  2. Step 2: Convert to fraction form
    1,911.10/2,867.74 = 815.36/x
  3. Step 3: Cross multiply
    1,911.10x = 2,867.74 × 815.36
  4. Step 4: Simplify right side
    1,911.10x = 2,338,240.49
  5. Step 5: Solve for x
    x = 2,338,240.49/1,911.10
  6. Step 6: Final answer
    x = 1,223.51

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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.