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Finding the Fourth Proportional to 25,120, 37,680 and 6,652

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Solution

The fourth proportional to 25,120, 37,680 and 6,652 is: 9,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,120 : 37,680 = 6,652 : x
  2. Step 2: Convert to fraction form
    25,120/37,680 = 6,652/x
  3. Step 3: Cross multiply
    25,120x = 37,680 × 6,652
  4. Step 4: Simplify right side
    25,120x = 250,647,360
  5. Step 5: Solve for x
    x = 250,647,360/25,120
  6. Step 6: Final answer
    x = 9,978

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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.