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Finding the Fourth Proportional to 7,768.41, 11,652.48 and 1,925

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Solution

The fourth proportional to 7,768.41, 11,652.48 and 1,925 is: 2,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.41 : 11,652.48 = 1,925 : x
  2. Step 2: Convert to fraction form
    7,768.41/11,652.48 = 1,925/x
  3. Step 3: Cross multiply
    7,768.41x = 11,652.48 × 1,925
  4. Step 4: Simplify right side
    7,768.41x = 22,431,024
  5. Step 5: Solve for x
    x = 22,431,024/7,768.41
  6. Step 6: Final answer
    x = 2,887.47

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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.