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Finding the Fourth Proportional to 7,930, 10,943.40 and 4,786.19

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Solution

The fourth proportional to 7,930, 10,943.40 and 4,786.19 is: 6,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930 : 10,943.40 = 4,786.19 : x
  2. Step 2: Convert to fraction form
    7,930/10,943.40 = 4,786.19/x
  3. Step 3: Cross multiply
    7,930x = 10,943.40 × 4,786.19
  4. Step 4: Simplify right side
    7,930x = 52,377,191.65
  5. Step 5: Solve for x
    x = 52,377,191.65/7,930
  6. Step 6: Final answer
    x = 6,604.94

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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.