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Finding the Fourth Proportional to 12,845, 19,267.50 and 3,117

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Solution

The fourth proportional to 12,845, 19,267.50 and 3,117 is: 4,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845 : 19,267.50 = 3,117 : x
  2. Step 2: Convert to fraction form
    12,845/19,267.50 = 3,117/x
  3. Step 3: Cross multiply
    12,845x = 19,267.50 × 3,117
  4. Step 4: Simplify right side
    12,845x = 60,056,797.50
  5. Step 5: Solve for x
    x = 60,056,797.50/12,845
  6. Step 6: Final answer
    x = 4,675.50

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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.