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Finding the Fourth Proportional to 7,769.76, 11,647.11 and 3,088.23

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Solution

The fourth proportional to 7,769.76, 11,647.11 and 3,088.23 is: 4,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.76 : 11,647.11 = 3,088.23 : x
  2. Step 2: Convert to fraction form
    7,769.76/11,647.11 = 3,088.23/x
  3. Step 3: Cross multiply
    7,769.76x = 11,647.11 × 3,088.23
  4. Step 4: Simplify right side
    7,769.76x = 35,968,954.52
  5. Step 5: Solve for x
    x = 35,968,954.52/7,769.76
  6. Step 6: Final answer
    x = 4,629.35

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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.