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Finding the Fourth Proportional to 12,161, 16,782.18 and 6,572

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Solution

The fourth proportional to 12,161, 16,782.18 and 6,572 is: 9,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161 : 16,782.18 = 6,572 : x
  2. Step 2: Convert to fraction form
    12,161/16,782.18 = 6,572/x
  3. Step 3: Cross multiply
    12,161x = 16,782.18 × 6,572
  4. Step 4: Simplify right side
    12,161x = 110,292,486.96
  5. Step 5: Solve for x
    x = 110,292,486.96/12,161
  6. Step 6: Final answer
    x = 9,069.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.