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Finding the Fourth Proportional to 5,412.40, 8,110.40 and 4,019.22

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Solution

The fourth proportional to 5,412.40, 8,110.40 and 4,019.22 is: 6,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.40 : 8,110.40 = 4,019.22 : x
  2. Step 2: Convert to fraction form
    5,412.40/8,110.40 = 4,019.22/x
  3. Step 3: Cross multiply
    5,412.40x = 8,110.40 × 4,019.22
  4. Step 4: Simplify right side
    5,412.40x = 32,597,461.79
  5. Step 5: Solve for x
    x = 32,597,461.79/5,412.40
  6. Step 6: Final answer
    x = 6,022.74

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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.