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Finding the Fourth Proportional to 5,278.90, 7,913.40 and 1,994.20

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Solution

The fourth proportional to 5,278.90, 7,913.40 and 1,994.20 is: 2,989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.90 : 7,913.40 = 1,994.20 : x
  2. Step 2: Convert to fraction form
    5,278.90/7,913.40 = 1,994.20/x
  3. Step 3: Cross multiply
    5,278.90x = 7,913.40 × 1,994.20
  4. Step 4: Simplify right side
    5,278.90x = 15,780,902.28
  5. Step 5: Solve for x
    x = 15,780,902.28/5,278.90
  6. Step 6: Final answer
    x = 2,989.43

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1.5x scale

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.