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Finding the Fourth Proportional to 1,781.98, 2,458.95 and 996.01

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Solution

The fourth proportional to 1,781.98, 2,458.95 and 996.01 is: 1,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.98 : 2,458.95 = 996.01 : x
  2. Step 2: Convert to fraction form
    1,781.98/2,458.95 = 996.01/x
  3. Step 3: Cross multiply
    1,781.98x = 2,458.95 × 996.01
  4. Step 4: Simplify right side
    1,781.98x = 2,449,138.79
  5. Step 5: Solve for x
    x = 2,449,138.79/1,781.98
  6. Step 6: Final answer
    x = 1,374.39

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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.