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Finding the Fourth Proportional to 25,172.57, 37,764.36 and 7,643.77

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Solution

The fourth proportional to 25,172.57, 37,764.36 and 7,643.77 is: 11,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172.57 : 37,764.36 = 7,643.77 : x
  2. Step 2: Convert to fraction form
    25,172.57/37,764.36 = 7,643.77/x
  3. Step 3: Cross multiply
    25,172.57x = 37,764.36 × 7,643.77
  4. Step 4: Simplify right side
    25,172.57x = 288,661,987.63
  5. Step 5: Solve for x
    x = 288,661,987.63/25,172.57
  6. Step 6: Final answer
    x = 11,467.32

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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.