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Finding the Fourth Proportional to 2,155.74, 2,975.03 and 1,224.54

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Solution

The fourth proportional to 2,155.74, 2,975.03 and 1,224.54 is: 1,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.74 : 2,975.03 = 1,224.54 : x
  2. Step 2: Convert to fraction form
    2,155.74/2,975.03 = 1,224.54/x
  3. Step 3: Cross multiply
    2,155.74x = 2,975.03 × 1,224.54
  4. Step 4: Simplify right side
    2,155.74x = 3,643,043.24
  5. Step 5: Solve for x
    x = 3,643,043.24/2,155.74
  6. Step 6: Final answer
    x = 1,689.93

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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.