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Finding the Fourth Proportional to 2,143.59, 2,969.64 and 2,092.56

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Solution

The fourth proportional to 2,143.59, 2,969.64 and 2,092.56 is: 2,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.59 : 2,969.64 = 2,092.56 : x
  2. Step 2: Convert to fraction form
    2,143.59/2,969.64 = 2,092.56/x
  3. Step 3: Cross multiply
    2,143.59x = 2,969.64 × 2,092.56
  4. Step 4: Simplify right side
    2,143.59x = 6,214,149.88
  5. Step 5: Solve for x
    x = 6,214,149.88/2,143.59
  6. Step 6: Final answer
    x = 2,898.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.