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Finding the Fourth Proportional to 2,129, 3,193.50 and 590

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Solution

The fourth proportional to 2,129, 3,193.50 and 590 is: 885

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129 : 3,193.50 = 590 : x
  2. Step 2: Convert to fraction form
    2,129/3,193.50 = 590/x
  3. Step 3: Cross multiply
    2,129x = 3,193.50 × 590
  4. Step 4: Simplify right side
    2,129x = 1,884,165
  5. Step 5: Solve for x
    x = 1,884,165/2,129
  6. Step 6: Final answer
    x = 885

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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.