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Finding the Fourth Proportional to 2,149.86, 2,947.49 and 2,110.98

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Solution

The fourth proportional to 2,149.86, 2,947.49 and 2,110.98 is: 2,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.86 : 2,947.49 = 2,110.98 : x
  2. Step 2: Convert to fraction form
    2,149.86/2,947.49 = 2,110.98/x
  3. Step 3: Cross multiply
    2,149.86x = 2,947.49 × 2,110.98
  4. Step 4: Simplify right side
    2,149.86x = 6,222,081.89
  5. Step 5: Solve for x
    x = 6,222,081.89/2,149.86
  6. Step 6: Final answer
    x = 2,894.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.