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Finding the Fourth Proportional to 6,077.54, 8,402.02 and 6,022.20

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Solution

The fourth proportional to 6,077.54, 8,402.02 and 6,022.20 is: 8,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.54 : 8,402.02 = 6,022.20 : x
  2. Step 2: Convert to fraction form
    6,077.54/8,402.02 = 6,022.20/x
  3. Step 3: Cross multiply
    6,077.54x = 8,402.02 × 6,022.20
  4. Step 4: Simplify right side
    6,077.54x = 50,598,644.84
  5. Step 5: Solve for x
    x = 50,598,644.84/6,077.54
  6. Step 6: Final answer
    x = 8,325.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.