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Finding the Fourth Proportional to 1,994.15, 2,985.08 and 1,824.05

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Solution

The fourth proportional to 1,994.15, 2,985.08 and 1,824.05 is: 2,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.15 : 2,985.08 = 1,824.05 : x
  2. Step 2: Convert to fraction form
    1,994.15/2,985.08 = 1,824.05/x
  3. Step 3: Cross multiply
    1,994.15x = 2,985.08 × 1,824.05
  4. Step 4: Simplify right side
    1,994.15x = 5,444,911.13
  5. Step 5: Solve for x
    x = 5,444,911.13/1,994.15
  6. Step 6: Final answer
    x = 2,730.45

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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.