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Finding the Fourth Proportional to 5,455.76, 8,182.01 and 4,578.53

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Solution

The fourth proportional to 5,455.76, 8,182.01 and 4,578.53 is: 6,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.76 : 8,182.01 = 4,578.53 : x
  2. Step 2: Convert to fraction form
    5,455.76/8,182.01 = 4,578.53/x
  3. Step 3: Cross multiply
    5,455.76x = 8,182.01 × 4,578.53
  4. Step 4: Simplify right side
    5,455.76x = 37,461,548.78
  5. Step 5: Solve for x
    x = 37,461,548.78/5,455.76
  6. Step 6: Final answer
    x = 6,866.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.