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Finding the Fourth Proportional to 3,601.47, 4,970.03 and 1,945.47

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Solution

The fourth proportional to 3,601.47, 4,970.03 and 1,945.47 is: 2,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.47 : 4,970.03 = 1,945.47 : x
  2. Step 2: Convert to fraction form
    3,601.47/4,970.03 = 1,945.47/x
  3. Step 3: Cross multiply
    3,601.47x = 4,970.03 × 1,945.47
  4. Step 4: Simplify right side
    3,601.47x = 9,669,034.54
  5. Step 5: Solve for x
    x = 9,669,034.54/3,601.47
  6. Step 6: Final answer
    x = 2,684.75

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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.