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Finding the Fourth Proportional to 2,129.52, 2,940.12 and 1,302

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Solution

The fourth proportional to 2,129.52, 2,940.12 and 1,302 is: 1,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.52 : 2,940.12 = 1,302 : x
  2. Step 2: Convert to fraction form
    2,129.52/2,940.12 = 1,302/x
  3. Step 3: Cross multiply
    2,129.52x = 2,940.12 × 1,302
  4. Step 4: Simplify right side
    2,129.52x = 3,828,036.24
  5. Step 5: Solve for x
    x = 3,828,036.24/2,129.52
  6. Step 6: Final answer
    x = 1,797.61

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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.