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Finding the Fourth Proportional to 11,645.94, 16,075.45 and 6,930.12

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Solution

The fourth proportional to 11,645.94, 16,075.45 and 6,930.12 is: 9,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.94 : 16,075.45 = 6,930.12 : x
  2. Step 2: Convert to fraction form
    11,645.94/16,075.45 = 6,930.12/x
  3. Step 3: Cross multiply
    11,645.94x = 16,075.45 × 6,930.12
  4. Step 4: Simplify right side
    11,645.94x = 111,404,762.90
  5. Step 5: Solve for x
    x = 111,404,762.90/11,645.94
  6. Step 6: Final answer
    x = 9,565.97

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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.