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Finding the Fourth Proportional to 12,697.86, 19,039.50 and 11,964

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Solution

The fourth proportional to 12,697.86, 19,039.50 and 11,964 is: 17,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.86 : 19,039.50 = 11,964 : x
  2. Step 2: Convert to fraction form
    12,697.86/19,039.50 = 11,964/x
  3. Step 3: Cross multiply
    12,697.86x = 19,039.50 × 11,964
  4. Step 4: Simplify right side
    12,697.86x = 227,788,578
  5. Step 5: Solve for x
    x = 227,788,578/12,697.86
  6. Step 6: Final answer
    x = 17,939.13

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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.