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Finding the Fourth Proportional to 1,994.51, 2,992.36 and 1,440.47

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Solution

The fourth proportional to 1,994.51, 2,992.36 and 1,440.47 is: 2,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.51 : 2,992.36 = 1,440.47 : x
  2. Step 2: Convert to fraction form
    1,994.51/2,992.36 = 1,440.47/x
  3. Step 3: Cross multiply
    1,994.51x = 2,992.36 × 1,440.47
  4. Step 4: Simplify right side
    1,994.51x = 4,310,404.81
  5. Step 5: Solve for x
    x = 4,310,404.81/1,994.51
  6. Step 6: Final answer
    x = 2,161.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.