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Finding the Fourth Proportional to 8,471.88, 12,635.82 and 8,324.28

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Solution

The fourth proportional to 8,471.88, 12,635.82 and 8,324.28 is: 12,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.88 : 12,635.82 = 8,324.28 : x
  2. Step 2: Convert to fraction form
    8,471.88/12,635.82 = 8,324.28/x
  3. Step 3: Cross multiply
    8,471.88x = 12,635.82 × 8,324.28
  4. Step 4: Simplify right side
    8,471.88x = 105,184,103.71
  5. Step 5: Solve for x
    x = 105,184,103.71/8,471.88
  6. Step 6: Final answer
    x = 12,415.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.