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Finding the Fourth Proportional to 12,729, 19,093.86 and 3,495

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Solution

The fourth proportional to 12,729, 19,093.86 and 3,495 is: 5,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 19,093.86 = 3,495 : x
  2. Step 2: Convert to fraction form
    12,729/19,093.86 = 3,495/x
  3. Step 3: Cross multiply
    12,729x = 19,093.86 × 3,495
  4. Step 4: Simplify right side
    12,729x = 66,733,040.70
  5. Step 5: Solve for x
    x = 66,733,040.70/12,729
  6. Step 6: Final answer
    x = 5,242.60

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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.