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Finding the Fourth Proportional to 5,283.76, 7,921.32 and 1,994.98

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Solution

The fourth proportional to 5,283.76, 7,921.32 and 1,994.98 is: 2,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.76 : 7,921.32 = 1,994.98 : x
  2. Step 2: Convert to fraction form
    5,283.76/7,921.32 = 1,994.98/x
  3. Step 3: Cross multiply
    5,283.76x = 7,921.32 × 1,994.98
  4. Step 4: Simplify right side
    5,283.76x = 15,802,874.97
  5. Step 5: Solve for x
    x = 15,802,874.97/5,283.76
  6. Step 6: Final answer
    x = 2,990.84

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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.