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Finding the Fourth Proportional to 6,278.34, 8,667.87 and 3,923.67

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Solution

The fourth proportional to 6,278.34, 8,667.87 and 3,923.67 is: 5,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.34 : 8,667.87 = 3,923.67 : x
  2. Step 2: Convert to fraction form
    6,278.34/8,667.87 = 3,923.67/x
  3. Step 3: Cross multiply
    6,278.34x = 8,667.87 × 3,923.67
  4. Step 4: Simplify right side
    6,278.34x = 34,009,861.48
  5. Step 5: Solve for x
    x = 34,009,861.48/6,278.34
  6. Step 6: Final answer
    x = 5,417.01

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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.