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Finding the Fourth Proportional to 10,028.85, 13,826.21 and 8,454.21

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Solution

The fourth proportional to 10,028.85, 13,826.21 and 8,454.21 is: 11,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.85 : 13,826.21 = 8,454.21 : x
  2. Step 2: Convert to fraction form
    10,028.85/13,826.21 = 8,454.21/x
  3. Step 3: Cross multiply
    10,028.85x = 13,826.21 × 8,454.21
  4. Step 4: Simplify right side
    10,028.85x = 116,889,640.57
  5. Step 5: Solve for x
    x = 116,889,640.57/10,028.85
  6. Step 6: Final answer
    x = 11,655.34

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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.