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Finding the Fourth Proportional to 6,370.28, 8,771.94 and 5,905.64

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Solution

The fourth proportional to 6,370.28, 8,771.94 and 5,905.64 is: 8,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.28 : 8,771.94 = 5,905.64 : x
  2. Step 2: Convert to fraction form
    6,370.28/8,771.94 = 5,905.64/x
  3. Step 3: Cross multiply
    6,370.28x = 8,771.94 × 5,905.64
  4. Step 4: Simplify right side
    6,370.28x = 51,803,919.74
  5. Step 5: Solve for x
    x = 51,803,919.74/6,370.28
  6. Step 6: Final answer
    x = 8,132.13

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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.