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Finding the Fourth Proportional to 4,679.69, 6,986.95 and 4,213.13

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Solution

The fourth proportional to 4,679.69, 6,986.95 and 4,213.13 is: 6,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.69 : 6,986.95 = 4,213.13 : x
  2. Step 2: Convert to fraction form
    4,679.69/6,986.95 = 4,213.13/x
  3. Step 3: Cross multiply
    4,679.69x = 6,986.95 × 4,213.13
  4. Step 4: Simplify right side
    4,679.69x = 29,436,928.65
  5. Step 5: Solve for x
    x = 29,436,928.65/4,679.69
  6. Step 6: Final answer
    x = 6,290.36

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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.