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Finding the Fourth Proportional to 5,298.53, 7,947.84 and 1,600.79

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Solution

The fourth proportional to 5,298.53, 7,947.84 and 1,600.79 is: 2,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.53 : 7,947.84 = 1,600.79 : x
  2. Step 2: Convert to fraction form
    5,298.53/7,947.84 = 1,600.79/x
  3. Step 3: Cross multiply
    5,298.53x = 7,947.84 × 1,600.79
  4. Step 4: Simplify right side
    5,298.53x = 12,722,783.05
  5. Step 5: Solve for x
    x = 12,722,783.05/5,298.53
  6. Step 6: Final answer
    x = 2,401.19

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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.