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Finding the Fourth Proportional to 25,706.56, 38,533.02 and 12,540.84

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Solution

The fourth proportional to 25,706.56, 38,533.02 and 12,540.84 is: 18,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.56 : 38,533.02 = 12,540.84 : x
  2. Step 2: Convert to fraction form
    25,706.56/38,533.02 = 12,540.84/x
  3. Step 3: Cross multiply
    25,706.56x = 38,533.02 × 12,540.84
  4. Step 4: Simplify right side
    25,706.56x = 483,236,438.54
  5. Step 5: Solve for x
    x = 483,236,438.54/25,706.56
  6. Step 6: Final answer
    x = 18,798.18

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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.