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Finding the Fourth Proportional to 2,153.81, 2,972.27 and 1,409.02

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Solution

The fourth proportional to 2,153.81, 2,972.27 and 1,409.02 is: 1,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.81 : 2,972.27 = 1,409.02 : x
  2. Step 2: Convert to fraction form
    2,153.81/2,972.27 = 1,409.02/x
  3. Step 3: Cross multiply
    2,153.81x = 2,972.27 × 1,409.02
  4. Step 4: Simplify right side
    2,153.81x = 4,187,983.97
  5. Step 5: Solve for x
    x = 4,187,983.97/2,153.81
  6. Step 6: Final answer
    x = 1,944.45

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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.