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Finding the Fourth Proportional to 5,189.86, 7,788.90 and 2,270.26

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Solution

The fourth proportional to 5,189.86, 7,788.90 and 2,270.26 is: 3,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.86 : 7,788.90 = 2,270.26 : x
  2. Step 2: Convert to fraction form
    5,189.86/7,788.90 = 2,270.26/x
  3. Step 3: Cross multiply
    5,189.86x = 7,788.90 × 2,270.26
  4. Step 4: Simplify right side
    5,189.86x = 17,682,828.11
  5. Step 5: Solve for x
    x = 17,682,828.11/5,189.86
  6. Step 6: Final answer
    x = 3,407.19

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1.5x scale

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.