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Finding the Fourth Proportional to 12,678, 19,003.30 and 5,280.46

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Solution

The fourth proportional to 12,678, 19,003.30 and 5,280.46 is: 7,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 19,003.30 = 5,280.46 : x
  2. Step 2: Convert to fraction form
    12,678/19,003.30 = 5,280.46/x
  3. Step 3: Cross multiply
    12,678x = 19,003.30 × 5,280.46
  4. Step 4: Simplify right side
    12,678x = 100,346,165.52
  5. Step 5: Solve for x
    x = 100,346,165.52/12,678
  6. Step 6: Final answer
    x = 7,914.98

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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.