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Finding the Fourth Proportional to 7,686.63, 11,530.14 and 3,069.63

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Solution

The fourth proportional to 7,686.63, 11,530.14 and 3,069.63 is: 4,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.63 : 11,530.14 = 3,069.63 : x
  2. Step 2: Convert to fraction form
    7,686.63/11,530.14 = 3,069.63/x
  3. Step 3: Cross multiply
    7,686.63x = 11,530.14 × 3,069.63
  4. Step 4: Simplify right side
    7,686.63x = 35,393,263.65
  5. Step 5: Solve for x
    x = 35,393,263.65/7,686.63
  6. Step 6: Final answer
    x = 4,604.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.