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Finding the Fourth Proportional to 7,752.77, 11,629.16 and 6,379.22

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Solution

The fourth proportional to 7,752.77, 11,629.16 and 6,379.22 is: 9,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.77 : 11,629.16 = 6,379.22 : x
  2. Step 2: Convert to fraction form
    7,752.77/11,629.16 = 6,379.22/x
  3. Step 3: Cross multiply
    7,752.77x = 11,629.16 × 6,379.22
  4. Step 4: Simplify right side
    7,752.77x = 74,184,880.01
  5. Step 5: Solve for x
    x = 74,184,880.01/7,752.77
  6. Step 6: Final answer
    x = 9,568.83

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1.5x scale

Why These Related Problems?

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