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Finding the Fourth Proportional to 7,888, 11,832 and 4,425.52

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Solution

The fourth proportional to 7,888, 11,832 and 4,425.52 is: 6,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888 : 11,832 = 4,425.52 : x
  2. Step 2: Convert to fraction form
    7,888/11,832 = 4,425.52/x
  3. Step 3: Cross multiply
    7,888x = 11,832 × 4,425.52
  4. Step 4: Simplify right side
    7,888x = 52,362,752.64
  5. Step 5: Solve for x
    x = 52,362,752.64/7,888
  6. Step 6: Final answer
    x = 6,638.28

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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.