Home / 5,027-7,540.68-1,564.16

Finding the Fourth Proportional to 5,027, 7,540.68 and 1,564.16

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Solution

The fourth proportional to 5,027, 7,540.68 and 1,564.16 is: 2,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027 : 7,540.68 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    5,027/7,540.68 = 1,564.16/x
  3. Step 3: Cross multiply
    5,027x = 7,540.68 × 1,564.16
  4. Step 4: Simplify right side
    5,027x = 11,794,830.03
  5. Step 5: Solve for x
    x = 11,794,830.03/5,027
  6. Step 6: Final answer
    x = 2,346.30

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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.