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Finding the Fourth Proportional to 10,810, 16,194.02 and 7,100.98

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Solution

The fourth proportional to 10,810, 16,194.02 and 7,100.98 is: 10,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 16,194.02 = 7,100.98 : x
  2. Step 2: Convert to fraction form
    10,810/16,194.02 = 7,100.98/x
  3. Step 3: Cross multiply
    10,810x = 16,194.02 × 7,100.98
  4. Step 4: Simplify right side
    10,810x = 114,993,412.14
  5. Step 5: Solve for x
    x = 114,993,412.14/10,810
  6. Step 6: Final answer
    x = 10,637.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.