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Finding the Fourth Proportional to 4,786.65, 7,130.60 and 4,641.57

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Solution

The fourth proportional to 4,786.65, 7,130.60 and 4,641.57 is: 6,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.65 : 7,130.60 = 4,641.57 : x
  2. Step 2: Convert to fraction form
    4,786.65/7,130.60 = 4,641.57/x
  3. Step 3: Cross multiply
    4,786.65x = 7,130.60 × 4,641.57
  4. Step 4: Simplify right side
    4,786.65x = 33,097,179.04
  5. Step 5: Solve for x
    x = 33,097,179.04/4,786.65
  6. Step 6: Final answer
    x = 6,914.48

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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.