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Finding the Fourth Proportional to 12,497.77, 18,754.22 and 5,478.19

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Solution

The fourth proportional to 12,497.77, 18,754.22 and 5,478.19 is: 8,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.77 : 18,754.22 = 5,478.19 : x
  2. Step 2: Convert to fraction form
    12,497.77/18,754.22 = 5,478.19/x
  3. Step 3: Cross multiply
    12,497.77x = 18,754.22 × 5,478.19
  4. Step 4: Simplify right side
    12,497.77x = 102,739,059.30
  5. Step 5: Solve for x
    x = 102,739,059.30/12,497.77
  6. Step 6: Final answer
    x = 8,220.59

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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.