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Finding the Fourth Proportional to 3,875.64, 5,809.41 and 1,898.55

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Solution

The fourth proportional to 3,875.64, 5,809.41 and 1,898.55 is: 2,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.64 : 5,809.41 = 1,898.55 : x
  2. Step 2: Convert to fraction form
    3,875.64/5,809.41 = 1,898.55/x
  3. Step 3: Cross multiply
    3,875.64x = 5,809.41 × 1,898.55
  4. Step 4: Simplify right side
    3,875.64x = 11,029,455.36
  5. Step 5: Solve for x
    x = 11,029,455.36/3,875.64
  6. Step 6: Final answer
    x = 2,845.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.