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Finding the Fourth Proportional to 3,484.84, 5,228.07 and 1,019.68

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Solution

The fourth proportional to 3,484.84, 5,228.07 and 1,019.68 is: 1,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.84 : 5,228.07 = 1,019.68 : x
  2. Step 2: Convert to fraction form
    3,484.84/5,228.07 = 1,019.68/x
  3. Step 3: Cross multiply
    3,484.84x = 5,228.07 × 1,019.68
  4. Step 4: Simplify right side
    3,484.84x = 5,330,958.42
  5. Step 5: Solve for x
    x = 5,330,958.42/3,484.84
  6. Step 6: Final answer
    x = 1,529.76

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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.