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Finding the Fourth Proportional to 1,515.66, 2,091.78 and 852.68

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Solution

The fourth proportional to 1,515.66, 2,091.78 and 852.68 is: 1,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.66 : 2,091.78 = 852.68 : x
  2. Step 2: Convert to fraction form
    1,515.66/2,091.78 = 852.68/x
  3. Step 3: Cross multiply
    1,515.66x = 2,091.78 × 852.68
  4. Step 4: Simplify right side
    1,515.66x = 1,783,608.51
  5. Step 5: Solve for x
    x = 1,783,608.51/1,515.66
  6. Step 6: Final answer
    x = 1,176.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.