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Finding the Fourth Proportional to 1,878.64, 2,592.54 and 1,027.92

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Solution

The fourth proportional to 1,878.64, 2,592.54 and 1,027.92 is: 1,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.64 : 2,592.54 = 1,027.92 : x
  2. Step 2: Convert to fraction form
    1,878.64/2,592.54 = 1,027.92/x
  3. Step 3: Cross multiply
    1,878.64x = 2,592.54 × 1,027.92
  4. Step 4: Simplify right side
    1,878.64x = 2,664,923.72
  5. Step 5: Solve for x
    x = 2,664,923.72/1,878.64
  6. Step 6: Final answer
    x = 1,418.54

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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.