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Finding the Fourth Proportional to 25,802.72, 35,615.12 and 15,198.47

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Solution

The fourth proportional to 25,802.72, 35,615.12 and 15,198.47 is: 20,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.72 : 35,615.12 = 15,198.47 : x
  2. Step 2: Convert to fraction form
    25,802.72/35,615.12 = 15,198.47/x
  3. Step 3: Cross multiply
    25,802.72x = 35,615.12 × 15,198.47
  4. Step 4: Simplify right side
    25,802.72x = 541,295,332.87
  5. Step 5: Solve for x
    x = 541,295,332.87/25,802.72
  6. Step 6: Final answer
    x = 20,978.23

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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.