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Finding the Fourth Proportional to 12,085.70, 18,133.74 and 6,543

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Solution

The fourth proportional to 12,085.70, 18,133.74 and 6,543 is: 9,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.70 : 18,133.74 = 6,543 : x
  2. Step 2: Convert to fraction form
    12,085.70/18,133.74 = 6,543/x
  3. Step 3: Cross multiply
    12,085.70x = 18,133.74 × 6,543
  4. Step 4: Simplify right side
    12,085.70x = 118,649,060.82
  5. Step 5: Solve for x
    x = 118,649,060.82/12,085.70
  6. Step 6: Final answer
    x = 9,817.31

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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.