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Finding the Fourth Proportional to 7,605.72, 11,378.58 and 5,762.16

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Solution

The fourth proportional to 7,605.72, 11,378.58 and 5,762.16 is: 8,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.72 : 11,378.58 = 5,762.16 : x
  2. Step 2: Convert to fraction form
    7,605.72/11,378.58 = 5,762.16/x
  3. Step 3: Cross multiply
    7,605.72x = 11,378.58 × 5,762.16
  4. Step 4: Simplify right side
    7,605.72x = 65,565,198.53
  5. Step 5: Solve for x
    x = 65,565,198.53/7,605.72
  6. Step 6: Final answer
    x = 8,620.51

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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.