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Finding the Fourth Proportional to 13,384.80, 18,471.18 and 7,416.54

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Solution

The fourth proportional to 13,384.80, 18,471.18 and 7,416.54 is: 10,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.80 : 18,471.18 = 7,416.54 : x
  2. Step 2: Convert to fraction form
    13,384.80/18,471.18 = 7,416.54/x
  3. Step 3: Cross multiply
    13,384.80x = 18,471.18 × 7,416.54
  4. Step 4: Simplify right side
    13,384.80x = 136,992,245.32
  5. Step 5: Solve for x
    x = 136,992,245.32/13,384.80
  6. Step 6: Final answer
    x = 10,234.91

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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.