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Finding the Fourth Proportional to 4,785.78, 7,136.79 and 4,742.04

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Solution

The fourth proportional to 4,785.78, 7,136.79 and 4,742.04 is: 7,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.78 : 7,136.79 = 4,742.04 : x
  2. Step 2: Convert to fraction form
    4,785.78/7,136.79 = 4,742.04/x
  3. Step 3: Cross multiply
    4,785.78x = 7,136.79 × 4,742.04
  4. Step 4: Simplify right side
    4,785.78x = 33,842,943.65
  5. Step 5: Solve for x
    x = 33,842,943.65/4,785.78
  6. Step 6: Final answer
    x = 7,071.56

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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.