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Finding the Fourth Proportional to 3,887.64, 5,830.20 and 1,939.32

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Solution

The fourth proportional to 3,887.64, 5,830.20 and 1,939.32 is: 2,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.64 : 5,830.20 = 1,939.32 : x
  2. Step 2: Convert to fraction form
    3,887.64/5,830.20 = 1,939.32/x
  3. Step 3: Cross multiply
    3,887.64x = 5,830.20 × 1,939.32
  4. Step 4: Simplify right side
    3,887.64x = 11,306,623.46
  5. Step 5: Solve for x
    x = 11,306,623.46/3,887.64
  6. Step 6: Final answer
    x = 2,908.35

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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.