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Finding the Fourth Proportional to 1,994.12, 2,752 and 1,154.80

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Solution

The fourth proportional to 1,994.12, 2,752 and 1,154.80 is: 1,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.12 : 2,752 = 1,154.80 : x
  2. Step 2: Convert to fraction form
    1,994.12/2,752 = 1,154.80/x
  3. Step 3: Cross multiply
    1,994.12x = 2,752 × 1,154.80
  4. Step 4: Simplify right side
    1,994.12x = 3,178,009.60
  5. Step 5: Solve for x
    x = 3,178,009.60/1,994.12
  6. Step 6: Final answer
    x = 1,593.69

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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.