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Finding the Fourth Proportional to 7,883.54, 11,821.47 and 4,187.54

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Solution

The fourth proportional to 7,883.54, 11,821.47 and 4,187.54 is: 6,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.54 : 11,821.47 = 4,187.54 : x
  2. Step 2: Convert to fraction form
    7,883.54/11,821.47 = 4,187.54/x
  3. Step 3: Cross multiply
    7,883.54x = 11,821.47 × 4,187.54
  4. Step 4: Simplify right side
    7,883.54x = 49,502,878.48
  5. Step 5: Solve for x
    x = 49,502,878.48/7,883.54
  6. Step 6: Final answer
    x = 6,279.27

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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.