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Finding the Fourth Proportional to 8,270.91, 12,406.48 and 2,427.64

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Solution

The fourth proportional to 8,270.91, 12,406.48 and 2,427.64 is: 3,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.91 : 12,406.48 = 2,427.64 : x
  2. Step 2: Convert to fraction form
    8,270.91/12,406.48 = 2,427.64/x
  3. Step 3: Cross multiply
    8,270.91x = 12,406.48 × 2,427.64
  4. Step 4: Simplify right side
    8,270.91x = 30,118,430.02
  5. Step 5: Solve for x
    x = 30,118,430.02/8,270.91
  6. Step 6: Final answer
    x = 3,641.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.