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Finding the Fourth Proportional to 12,798.87, 19,197 and 3,437.67

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Solution

The fourth proportional to 12,798.87, 19,197 and 3,437.67 is: 5,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.87 : 19,197 = 3,437.67 : x
  2. Step 2: Convert to fraction form
    12,798.87/19,197 = 3,437.67/x
  3. Step 3: Cross multiply
    12,798.87x = 19,197 × 3,437.67
  4. Step 4: Simplify right side
    12,798.87x = 65,992,855.01
  5. Step 5: Solve for x
    x = 65,992,855.01/12,798.87
  6. Step 6: Final answer
    x = 5,156.15

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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.