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Finding the Fourth Proportional to 7,571.78, 10,449.14 and 4,214.53

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Solution

The fourth proportional to 7,571.78, 10,449.14 and 4,214.53 is: 5,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.78 : 10,449.14 = 4,214.53 : x
  2. Step 2: Convert to fraction form
    7,571.78/10,449.14 = 4,214.53/x
  3. Step 3: Cross multiply
    7,571.78x = 10,449.14 × 4,214.53
  4. Step 4: Simplify right side
    7,571.78x = 44,038,205.99
  5. Step 5: Solve for x
    x = 44,038,205.99/7,571.78
  6. Step 6: Final answer
    x = 5,816.10

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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.