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Finding the Fourth Proportional to 1,515, 2,093.10 and 1,202.60

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Solution

The fourth proportional to 1,515, 2,093.10 and 1,202.60 is: 1,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515 : 2,093.10 = 1,202.60 : x
  2. Step 2: Convert to fraction form
    1,515/2,093.10 = 1,202.60/x
  3. Step 3: Cross multiply
    1,515x = 2,093.10 × 1,202.60
  4. Step 4: Simplify right side
    1,515x = 2,517,162.06
  5. Step 5: Solve for x
    x = 2,517,162.06/1,515
  6. Step 6: Final answer
    x = 1,661.49

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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.