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Finding the Fourth Proportional to 12,879.94, 19,312.46 and 6,868.60

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Solution

The fourth proportional to 12,879.94, 19,312.46 and 6,868.60 is: 10,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.94 : 19,312.46 = 6,868.60 : x
  2. Step 2: Convert to fraction form
    12,879.94/19,312.46 = 6,868.60/x
  3. Step 3: Cross multiply
    12,879.94x = 19,312.46 × 6,868.60
  4. Step 4: Simplify right side
    12,879.94x = 132,649,562.76
  5. Step 5: Solve for x
    x = 132,649,562.76/12,879.94
  6. Step 6: Final answer
    x = 10,298.93

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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.