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Finding the Fourth Proportional to 12,728.44, 19,083.06 and 8,347

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Solution

The fourth proportional to 12,728.44, 19,083.06 and 8,347 is: 12,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.44 : 19,083.06 = 8,347 : x
  2. Step 2: Convert to fraction form
    12,728.44/19,083.06 = 8,347/x
  3. Step 3: Cross multiply
    12,728.44x = 19,083.06 × 8,347
  4. Step 4: Simplify right side
    12,728.44x = 159,286,301.82
  5. Step 5: Solve for x
    x = 159,286,301.82/12,728.44
  6. Step 6: Final answer
    x = 12,514.20

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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.