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Finding the Fourth Proportional to 8,378.48, 11,562.54 and 5,021.84

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Solution

The fourth proportional to 8,378.48, 11,562.54 and 5,021.84 is: 6,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.48 : 11,562.54 = 5,021.84 : x
  2. Step 2: Convert to fraction form
    8,378.48/11,562.54 = 5,021.84/x
  3. Step 3: Cross multiply
    8,378.48x = 11,562.54 × 5,021.84
  4. Step 4: Simplify right side
    8,378.48x = 58,065,225.87
  5. Step 5: Solve for x
    x = 58,065,225.87/8,378.48
  6. Step 6: Final answer
    x = 6,930.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.