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Finding the Fourth Proportional to 6,142.24, 8,471.08 and 5,189.82

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Solution

The fourth proportional to 6,142.24, 8,471.08 and 5,189.82 is: 7,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.24 : 8,471.08 = 5,189.82 : x
  2. Step 2: Convert to fraction form
    6,142.24/8,471.08 = 5,189.82/x
  3. Step 3: Cross multiply
    6,142.24x = 8,471.08 × 5,189.82
  4. Step 4: Simplify right side
    6,142.24x = 43,963,312.10
  5. Step 5: Solve for x
    x = 43,963,312.10/6,142.24
  6. Step 6: Final answer
    x = 7,157.54

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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.