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Finding the Fourth Proportional to 3,899.40, 5,849 and 1,590.90

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Solution

The fourth proportional to 3,899.40, 5,849 and 1,590.90 is: 2,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.40 : 5,849 = 1,590.90 : x
  2. Step 2: Convert to fraction form
    3,899.40/5,849 = 1,590.90/x
  3. Step 3: Cross multiply
    3,899.40x = 5,849 × 1,590.90
  4. Step 4: Simplify right side
    3,899.40x = 9,305,174.10
  5. Step 5: Solve for x
    x = 9,305,174.10/3,899.40
  6. Step 6: Final answer
    x = 2,386.31

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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.