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Finding the Fourth Proportional to 2,820, 3,893.14 and 1,876.50

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Solution

The fourth proportional to 2,820, 3,893.14 and 1,876.50 is: 2,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820 : 3,893.14 = 1,876.50 : x
  2. Step 2: Convert to fraction form
    2,820/3,893.14 = 1,876.50/x
  3. Step 3: Cross multiply
    2,820x = 3,893.14 × 1,876.50
  4. Step 4: Simplify right side
    2,820x = 7,305,477.21
  5. Step 5: Solve for x
    x = 7,305,477.21/2,820
  6. Step 6: Final answer
    x = 2,590.59

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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.