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Finding the Fourth Proportional to 12,678.66, 19,019.12 and 3,318.66

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Solution

The fourth proportional to 12,678.66, 19,019.12 and 3,318.66 is: 4,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.66 : 19,019.12 = 3,318.66 : x
  2. Step 2: Convert to fraction form
    12,678.66/19,019.12 = 3,318.66/x
  3. Step 3: Cross multiply
    12,678.66x = 19,019.12 × 3,318.66
  4. Step 4: Simplify right side
    12,678.66x = 63,117,976.19
  5. Step 5: Solve for x
    x = 63,117,976.19/12,678.66
  6. Step 6: Final answer
    x = 4,978.28

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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.