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Finding the Fourth Proportional to 2,138.80, 2,950.64 and 1,580.60

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Solution

The fourth proportional to 2,138.80, 2,950.64 and 1,580.60 is: 2,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.80 : 2,950.64 = 1,580.60 : x
  2. Step 2: Convert to fraction form
    2,138.80/2,950.64 = 1,580.60/x
  3. Step 3: Cross multiply
    2,138.80x = 2,950.64 × 1,580.60
  4. Step 4: Simplify right side
    2,138.80x = 4,663,781.58
  5. Step 5: Solve for x
    x = 4,663,781.58/2,138.80
  6. Step 6: Final answer
    x = 2,180.56

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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.