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Finding the Fourth Proportional to 23,578.68, 35,368.56 and 7,778.64

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Solution

The fourth proportional to 23,578.68, 35,368.56 and 7,778.64 is: 11,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.68 : 35,368.56 = 7,778.64 : x
  2. Step 2: Convert to fraction form
    23,578.68/35,368.56 = 7,778.64/x
  3. Step 3: Cross multiply
    23,578.68x = 35,368.56 × 7,778.64
  4. Step 4: Simplify right side
    23,578.68x = 275,119,295.56
  5. Step 5: Solve for x
    x = 275,119,295.56/23,578.68
  6. Step 6: Final answer
    x = 11,668.14

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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.