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Finding the Fourth Proportional to 12,697.68, 19,044 and 3,930.48

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Solution

The fourth proportional to 12,697.68, 19,044 and 3,930.48 is: 5,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.68 : 19,044 = 3,930.48 : x
  2. Step 2: Convert to fraction form
    12,697.68/19,044 = 3,930.48/x
  3. Step 3: Cross multiply
    12,697.68x = 19,044 × 3,930.48
  4. Step 4: Simplify right side
    12,697.68x = 74,852,061.12
  5. Step 5: Solve for x
    x = 74,852,061.12/12,697.68
  6. Step 6: Final answer
    x = 5,894.94

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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.