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Finding the Fourth Proportional to 6,458.57, 8,914.05 and 4,222.37

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Solution

The fourth proportional to 6,458.57, 8,914.05 and 4,222.37 is: 5,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.57 : 8,914.05 = 4,222.37 : x
  2. Step 2: Convert to fraction form
    6,458.57/8,914.05 = 4,222.37/x
  3. Step 3: Cross multiply
    6,458.57x = 8,914.05 × 4,222.37
  4. Step 4: Simplify right side
    6,458.57x = 37,638,372.73
  5. Step 5: Solve for x
    x = 37,638,372.73/6,458.57
  6. Step 6: Final answer
    x = 5,827.67

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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.