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Finding the Fourth Proportional to 5,622.42, 8,427.98 and 1,922.14

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Solution

The fourth proportional to 5,622.42, 8,427.98 and 1,922.14 is: 2,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.42 : 8,427.98 = 1,922.14 : x
  2. Step 2: Convert to fraction form
    5,622.42/8,427.98 = 1,922.14/x
  3. Step 3: Cross multiply
    5,622.42x = 8,427.98 × 1,922.14
  4. Step 4: Simplify right side
    5,622.42x = 16,199,757.48
  5. Step 5: Solve for x
    x = 16,199,757.48/5,622.42
  6. Step 6: Final answer
    x = 2,881.28

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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.