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Finding the Fourth Proportional to 4,647.42, 6,374.12 and 4,122.54

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Solution

The fourth proportional to 4,647.42, 6,374.12 and 4,122.54 is: 5,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.42 : 6,374.12 = 4,122.54 : x
  2. Step 2: Convert to fraction form
    4,647.42/6,374.12 = 4,122.54/x
  3. Step 3: Cross multiply
    4,647.42x = 6,374.12 × 4,122.54
  4. Step 4: Simplify right side
    4,647.42x = 26,277,544.05
  5. Step 5: Solve for x
    x = 26,277,544.05/4,647.42
  6. Step 6: Final answer
    x = 5,654.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.