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Finding the Fourth Proportional to 1,515.42, 2,091.28 and 852.28

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Solution

The fourth proportional to 1,515.42, 2,091.28 and 852.28 is: 1,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.42 : 2,091.28 = 852.28 : x
  2. Step 2: Convert to fraction form
    1,515.42/2,091.28 = 852.28/x
  3. Step 3: Cross multiply
    1,515.42x = 2,091.28 × 852.28
  4. Step 4: Simplify right side
    1,515.42x = 1,782,351.86
  5. Step 5: Solve for x
    x = 1,782,351.86/1,515.42
  6. Step 6: Final answer
    x = 1,176.15

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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.