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Finding the Fourth Proportional to 2,144.54, 2,959.26 and 1,358.84

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Solution

The fourth proportional to 2,144.54, 2,959.26 and 1,358.84 is: 1,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.54 : 2,959.26 = 1,358.84 : x
  2. Step 2: Convert to fraction form
    2,144.54/2,959.26 = 1,358.84/x
  3. Step 3: Cross multiply
    2,144.54x = 2,959.26 × 1,358.84
  4. Step 4: Simplify right side
    2,144.54x = 4,021,160.86
  5. Step 5: Solve for x
    x = 4,021,160.86/2,144.54
  6. Step 6: Final answer
    x = 1,875.07

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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.