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Finding the Fourth Proportional to 12,699.82, 19,054.05 and 6,539.50

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Solution

The fourth proportional to 12,699.82, 19,054.05 and 6,539.50 is: 9,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.82 : 19,054.05 = 6,539.50 : x
  2. Step 2: Convert to fraction form
    12,699.82/19,054.05 = 6,539.50/x
  3. Step 3: Cross multiply
    12,699.82x = 19,054.05 × 6,539.50
  4. Step 4: Simplify right side
    12,699.82x = 124,603,959.98
  5. Step 5: Solve for x
    x = 124,603,959.98/12,699.82
  6. Step 6: Final answer
    x = 9,811.47

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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.