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Finding the Fourth Proportional to 1,515.15, 2,090.91 and 852

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Solution

The fourth proportional to 1,515.15, 2,090.91 and 852 is: 1,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.15 : 2,090.91 = 852 : x
  2. Step 2: Convert to fraction form
    1,515.15/2,090.91 = 852/x
  3. Step 3: Cross multiply
    1,515.15x = 2,090.91 × 852
  4. Step 4: Simplify right side
    1,515.15x = 1,781,455.32
  5. Step 5: Solve for x
    x = 1,781,455.32/1,515.15
  6. Step 6: Final answer
    x = 1,175.76

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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.