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Finding the Fourth Proportional to 25,106.40, 37,661.04 and 7,578

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Solution

The fourth proportional to 25,106.40, 37,661.04 and 7,578 is: 11,367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106.40 : 37,661.04 = 7,578 : x
  2. Step 2: Convert to fraction form
    25,106.40/37,661.04 = 7,578/x
  3. Step 3: Cross multiply
    25,106.40x = 37,661.04 × 7,578
  4. Step 4: Simplify right side
    25,106.40x = 285,395,361.12
  5. Step 5: Solve for x
    x = 285,395,361.12/25,106.40
  6. Step 6: Final answer
    x = 11,367.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.