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Finding the Fourth Proportional to 25,148.37, 37,722.54 and 6,428.43

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Solution

The fourth proportional to 25,148.37, 37,722.54 and 6,428.43 is: 9,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.37 : 37,722.54 = 6,428.43 : x
  2. Step 2: Convert to fraction form
    25,148.37/37,722.54 = 6,428.43/x
  3. Step 3: Cross multiply
    25,148.37x = 37,722.54 × 6,428.43
  4. Step 4: Simplify right side
    25,148.37x = 242,496,731.92
  5. Step 5: Solve for x
    x = 242,496,731.92/25,148.37
  6. Step 6: Final answer
    x = 9,642.64

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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.