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Finding the Fourth Proportional to 12,694.46, 19,041.70 and 3,929.46

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Solution

The fourth proportional to 12,694.46, 19,041.70 and 3,929.46 is: 5,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.46 : 19,041.70 = 3,929.46 : x
  2. Step 2: Convert to fraction form
    12,694.46/19,041.70 = 3,929.46/x
  3. Step 3: Cross multiply
    12,694.46x = 19,041.70 × 3,929.46
  4. Step 4: Simplify right side
    12,694.46x = 74,823,598.48
  5. Step 5: Solve for x
    x = 74,823,598.48/12,694.46
  6. Step 6: Final answer
    x = 5,894.19

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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.