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Finding the Fourth Proportional to 7,578.56, 10,458.68 and 4,745.04

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Solution

The fourth proportional to 7,578.56, 10,458.68 and 4,745.04 is: 6,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.56 : 10,458.68 = 4,745.04 : x
  2. Step 2: Convert to fraction form
    7,578.56/10,458.68 = 4,745.04/x
  3. Step 3: Cross multiply
    7,578.56x = 10,458.68 × 4,745.04
  4. Step 4: Simplify right side
    7,578.56x = 49,626,854.95
  5. Step 5: Solve for x
    x = 49,626,854.95/7,578.56
  6. Step 6: Final answer
    x = 6,548.32

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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.