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Finding the Fourth Proportional to 7,471.80, 11,206.80 and 3,088.80

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Solution

The fourth proportional to 7,471.80, 11,206.80 and 3,088.80 is: 4,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.80 : 11,206.80 = 3,088.80 : x
  2. Step 2: Convert to fraction form
    7,471.80/11,206.80 = 3,088.80/x
  3. Step 3: Cross multiply
    7,471.80x = 11,206.80 × 3,088.80
  4. Step 4: Simplify right side
    7,471.80x = 34,615,563.84
  5. Step 5: Solve for x
    x = 34,615,563.84/7,471.80
  6. Step 6: Final answer
    x = 4,632.83

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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.