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Finding the Fourth Proportional to 12,983.67, 19,486.08 and 6,745.59

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Solution

The fourth proportional to 12,983.67, 19,486.08 and 6,745.59 is: 10,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.67 : 19,486.08 = 6,745.59 : x
  2. Step 2: Convert to fraction form
    12,983.67/19,486.08 = 6,745.59/x
  3. Step 3: Cross multiply
    12,983.67x = 19,486.08 × 6,745.59
  4. Step 4: Simplify right side
    12,983.67x = 131,445,106.39
  5. Step 5: Solve for x
    x = 131,445,106.39/12,983.67
  6. Step 6: Final answer
    x = 10,123.88

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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.