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Finding the Fourth Proportional to 7,766.77, 10,720.08 and 4,785.16

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Solution

The fourth proportional to 7,766.77, 10,720.08 and 4,785.16 is: 6,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.77 : 10,720.08 = 4,785.16 : x
  2. Step 2: Convert to fraction form
    7,766.77/10,720.08 = 4,785.16/x
  3. Step 3: Cross multiply
    7,766.77x = 10,720.08 × 4,785.16
  4. Step 4: Simplify right side
    7,766.77x = 51,297,312.85
  5. Step 5: Solve for x
    x = 51,297,312.85/7,766.77
  6. Step 6: Final answer
    x = 6,604.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.