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Finding the Fourth Proportional to 2,084, 2,876 and 1,152.48

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Solution

The fourth proportional to 2,084, 2,876 and 1,152.48 is: 1,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084 : 2,876 = 1,152.48 : x
  2. Step 2: Convert to fraction form
    2,084/2,876 = 1,152.48/x
  3. Step 3: Cross multiply
    2,084x = 2,876 × 1,152.48
  4. Step 4: Simplify right side
    2,084x = 3,314,532.48
  5. Step 5: Solve for x
    x = 3,314,532.48/2,084
  6. Step 6: Final answer
    x = 1,590.47

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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.