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Finding the Fourth Proportional to 7,826.01, 10,800.20 and 4,289.34

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Solution

The fourth proportional to 7,826.01, 10,800.20 and 4,289.34 is: 5,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.01 : 10,800.20 = 4,289.34 : x
  2. Step 2: Convert to fraction form
    7,826.01/10,800.20 = 4,289.34/x
  3. Step 3: Cross multiply
    7,826.01x = 10,800.20 × 4,289.34
  4. Step 4: Simplify right side
    7,826.01x = 46,325,729.87
  5. Step 5: Solve for x
    x = 46,325,729.87/7,826.01
  6. Step 6: Final answer
    x = 5,919.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.