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Finding the Fourth Proportional to 12,105.41, 16,703.91 and 7,065.98

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Solution

The fourth proportional to 12,105.41, 16,703.91 and 7,065.98 is: 9,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.41 : 16,703.91 = 7,065.98 : x
  2. Step 2: Convert to fraction form
    12,105.41/16,703.91 = 7,065.98/x
  3. Step 3: Cross multiply
    12,105.41x = 16,703.91 × 7,065.98
  4. Step 4: Simplify right side
    12,105.41x = 118,029,535.74
  5. Step 5: Solve for x
    x = 118,029,535.74/12,105.41
  6. Step 6: Final answer
    x = 9,750.15

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