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Finding the Fourth Proportional to 25,143.56, 37,657.93 and 12,005.16

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Solution

The fourth proportional to 25,143.56, 37,657.93 and 12,005.16 is: 17,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.56 : 37,657.93 = 12,005.16 : x
  2. Step 2: Convert to fraction form
    25,143.56/37,657.93 = 12,005.16/x
  3. Step 3: Cross multiply
    25,143.56x = 37,657.93 × 12,005.16
  4. Step 4: Simplify right side
    25,143.56x = 452,089,474.92
  5. Step 5: Solve for x
    x = 452,089,474.92/25,143.56
  6. Step 6: Final answer
    x = 17,980.33

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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.