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Finding the Fourth Proportional to 12,709.50, 19,065.33 and 3,475.50

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Solution

The fourth proportional to 12,709.50, 19,065.33 and 3,475.50 is: 5,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.50 : 19,065.33 = 3,475.50 : x
  2. Step 2: Convert to fraction form
    12,709.50/19,065.33 = 3,475.50/x
  3. Step 3: Cross multiply
    12,709.50x = 19,065.33 × 3,475.50
  4. Step 4: Simplify right side
    12,709.50x = 66,261,554.42
  5. Step 5: Solve for x
    x = 66,261,554.42/12,709.50
  6. Step 6: Final answer
    x = 5,213.55

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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.