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Finding the Fourth Proportional to 4,747.95, 7,122.74 and 1,628.26

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Solution

The fourth proportional to 4,747.95, 7,122.74 and 1,628.26 is: 2,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.95 : 7,122.74 = 1,628.26 : x
  2. Step 2: Convert to fraction form
    4,747.95/7,122.74 = 1,628.26/x
  3. Step 3: Cross multiply
    4,747.95x = 7,122.74 × 1,628.26
  4. Step 4: Simplify right side
    4,747.95x = 11,597,646.68
  5. Step 5: Solve for x
    x = 11,597,646.68/4,747.95
  6. Step 6: Final answer
    x = 2,442.66

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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.