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Finding the Fourth Proportional to 1,994.40, 2,753.46 and 1,772.71

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Solution

The fourth proportional to 1,994.40, 2,753.46 and 1,772.71 is: 2,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.40 : 2,753.46 = 1,772.71 : x
  2. Step 2: Convert to fraction form
    1,994.40/2,753.46 = 1,772.71/x
  3. Step 3: Cross multiply
    1,994.40x = 2,753.46 × 1,772.71
  4. Step 4: Simplify right side
    1,994.40x = 4,881,088.17
  5. Step 5: Solve for x
    x = 4,881,088.17/1,994.40
  6. Step 6: Final answer
    x = 2,447.39

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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.