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Finding the Fourth Proportional to 5,614.96, 8,422.40 and 2,684.40

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Solution

The fourth proportional to 5,614.96, 8,422.40 and 2,684.40 is: 4,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.96 : 8,422.40 = 2,684.40 : x
  2. Step 2: Convert to fraction form
    5,614.96/8,422.40 = 2,684.40/x
  3. Step 3: Cross multiply
    5,614.96x = 8,422.40 × 2,684.40
  4. Step 4: Simplify right side
    5,614.96x = 22,609,090.56
  5. Step 5: Solve for x
    x = 22,609,090.56/5,614.96
  6. Step 6: Final answer
    x = 4,026.58

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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.