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Finding the Fourth Proportional to 4,785.65, 7,129.11 and 4,640.57

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Solution

The fourth proportional to 4,785.65, 7,129.11 and 4,640.57 is: 6,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.65 : 7,129.11 = 4,640.57 : x
  2. Step 2: Convert to fraction form
    4,785.65/7,129.11 = 4,640.57/x
  3. Step 3: Cross multiply
    4,785.65x = 7,129.11 × 4,640.57
  4. Step 4: Simplify right side
    4,785.65x = 33,083,098.35
  5. Step 5: Solve for x
    x = 33,083,098.35/4,785.65
  6. Step 6: Final answer
    x = 6,912.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.