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Finding the Fourth Proportional to 5,283.85, 7,921.10 and 1,994.64

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Solution

The fourth proportional to 5,283.85, 7,921.10 and 1,994.64 is: 2,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.85 : 7,921.10 = 1,994.64 : x
  2. Step 2: Convert to fraction form
    5,283.85/7,921.10 = 1,994.64/x
  3. Step 3: Cross multiply
    5,283.85x = 7,921.10 × 1,994.64
  4. Step 4: Simplify right side
    5,283.85x = 15,799,732.13
  5. Step 5: Solve for x
    x = 15,799,732.13/5,283.85
  6. Step 6: Final answer
    x = 2,990.19

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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.