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Finding the Fourth Proportional to 2,046.54, 2,825.28 and 1,515

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Solution

The fourth proportional to 2,046.54, 2,825.28 and 1,515 is: 2,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.54 : 2,825.28 = 1,515 : x
  2. Step 2: Convert to fraction form
    2,046.54/2,825.28 = 1,515/x
  3. Step 3: Cross multiply
    2,046.54x = 2,825.28 × 1,515
  4. Step 4: Simplify right side
    2,046.54x = 4,280,299.20
  5. Step 5: Solve for x
    x = 4,280,299.20/2,046.54
  6. Step 6: Final answer
    x = 2,091.48

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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.