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Finding the Fourth Proportional to 3,606.09, 5,409.03 and 1,972.98

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Solution

The fourth proportional to 3,606.09, 5,409.03 and 1,972.98 is: 2,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.09 : 5,409.03 = 1,972.98 : x
  2. Step 2: Convert to fraction form
    3,606.09/5,409.03 = 1,972.98/x
  3. Step 3: Cross multiply
    3,606.09x = 5,409.03 × 1,972.98
  4. Step 4: Simplify right side
    3,606.09x = 10,671,908.01
  5. Step 5: Solve for x
    x = 10,671,908.01/3,606.09
  6. Step 6: Final answer
    x = 2,959.41

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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.