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Finding the Fourth Proportional to 7,762.74, 11,616.39 and 6,726.29

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Solution

The fourth proportional to 7,762.74, 11,616.39 and 6,726.29 is: 10,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.74 : 11,616.39 = 6,726.29 : x
  2. Step 2: Convert to fraction form
    7,762.74/11,616.39 = 6,726.29/x
  3. Step 3: Cross multiply
    7,762.74x = 11,616.39 × 6,726.29
  4. Step 4: Simplify right side
    7,762.74x = 78,135,149.81
  5. Step 5: Solve for x
    x = 78,135,149.81/7,762.74
  6. Step 6: Final answer
    x = 10,065.41

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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.