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Finding the Fourth Proportional to 12,855.56, 19,279.50 and 4,534

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Solution

The fourth proportional to 12,855.56, 19,279.50 and 4,534 is: 6,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.56 : 19,279.50 = 4,534 : x
  2. Step 2: Convert to fraction form
    12,855.56/19,279.50 = 4,534/x
  3. Step 3: Cross multiply
    12,855.56x = 19,279.50 × 4,534
  4. Step 4: Simplify right side
    12,855.56x = 87,413,253
  5. Step 5: Solve for x
    x = 87,413,253/12,855.56
  6. Step 6: Final answer
    x = 6,799.65

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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.