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Finding the Fourth Proportional to 12,674, 19,011.36 and 3,440

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Solution

The fourth proportional to 12,674, 19,011.36 and 3,440 is: 5,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674 : 19,011.36 = 3,440 : x
  2. Step 2: Convert to fraction form
    12,674/19,011.36 = 3,440/x
  3. Step 3: Cross multiply
    12,674x = 19,011.36 × 3,440
  4. Step 4: Simplify right side
    12,674x = 65,399,078.40
  5. Step 5: Solve for x
    x = 65,399,078.40/12,674
  6. Step 6: Final answer
    x = 5,160.10

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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.