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Finding the Fourth Proportional to 5,407.79, 8,109.16 and 2,810.03

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Solution

The fourth proportional to 5,407.79, 8,109.16 and 2,810.03 is: 4,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.79 : 8,109.16 = 2,810.03 : x
  2. Step 2: Convert to fraction form
    5,407.79/8,109.16 = 2,810.03/x
  3. Step 3: Cross multiply
    5,407.79x = 8,109.16 × 2,810.03
  4. Step 4: Simplify right side
    5,407.79x = 22,786,982.87
  5. Step 5: Solve for x
    x = 22,786,982.87/5,407.79
  6. Step 6: Final answer
    x = 4,213.73

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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.