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Finding the Fourth Proportional to 2,129.49, 2,940.30 and 2,095.47

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Solution

The fourth proportional to 2,129.49, 2,940.30 and 2,095.47 is: 2,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.49 : 2,940.30 = 2,095.47 : x
  2. Step 2: Convert to fraction form
    2,129.49/2,940.30 = 2,095.47/x
  3. Step 3: Cross multiply
    2,129.49x = 2,940.30 × 2,095.47
  4. Step 4: Simplify right side
    2,129.49x = 6,161,310.44
  5. Step 5: Solve for x
    x = 6,161,310.44/2,129.49
  6. Step 6: Final answer
    x = 2,893.33

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1.5x scale

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.