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Finding the Fourth Proportional to 2,138.94, 2,951.94 and 1,342.40

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Solution

The fourth proportional to 2,138.94, 2,951.94 and 1,342.40 is: 1,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.94 : 2,951.94 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    2,138.94/2,951.94 = 1,342.40/x
  3. Step 3: Cross multiply
    2,138.94x = 2,951.94 × 1,342.40
  4. Step 4: Simplify right side
    2,138.94x = 3,962,669.50
  5. Step 5: Solve for x
    x = 3,962,669.50/2,138.94
  6. Step 6: Final answer
    x = 1,852.63

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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.