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Finding the Fourth Proportional to 3,891.42, 5,838.03 and 1,426.23

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Solution

The fourth proportional to 3,891.42, 5,838.03 and 1,426.23 is: 2,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.42 : 5,838.03 = 1,426.23 : x
  2. Step 2: Convert to fraction form
    3,891.42/5,838.03 = 1,426.23/x
  3. Step 3: Cross multiply
    3,891.42x = 5,838.03 × 1,426.23
  4. Step 4: Simplify right side
    3,891.42x = 8,326,373.53
  5. Step 5: Solve for x
    x = 8,326,373.53/3,891.42
  6. Step 6: Final answer
    x = 2,139.67

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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.