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Finding the Fourth Proportional to 7,768.69, 11,707.71 and 7,029.30

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Solution

The fourth proportional to 7,768.69, 11,707.71 and 7,029.30 is: 10,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.69 : 11,707.71 = 7,029.30 : x
  2. Step 2: Convert to fraction form
    7,768.69/11,707.71 = 7,029.30/x
  3. Step 3: Cross multiply
    7,768.69x = 11,707.71 × 7,029.30
  4. Step 4: Simplify right side
    7,768.69x = 82,296,947.36
  5. Step 5: Solve for x
    x = 82,296,947.36/7,768.69
  6. Step 6: Final answer
    x = 10,593.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.