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Finding the Fourth Proportional to 5,329.40, 8,003.70 and 3,870.20

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Solution

The fourth proportional to 5,329.40, 8,003.70 and 3,870.20 is: 5,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.40 : 8,003.70 = 3,870.20 : x
  2. Step 2: Convert to fraction form
    5,329.40/8,003.70 = 3,870.20/x
  3. Step 3: Cross multiply
    5,329.40x = 8,003.70 × 3,870.20
  4. Step 4: Simplify right side
    5,329.40x = 30,975,919.74
  5. Step 5: Solve for x
    x = 30,975,919.74/5,329.40
  6. Step 6: Final answer
    x = 5,812.27

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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.