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Finding the Fourth Proportional to 7,800.81, 11,706.68 and 4,509.37

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Solution

The fourth proportional to 7,800.81, 11,706.68 and 4,509.37 is: 6,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.81 : 11,706.68 = 4,509.37 : x
  2. Step 2: Convert to fraction form
    7,800.81/11,706.68 = 4,509.37/x
  3. Step 3: Cross multiply
    7,800.81x = 11,706.68 × 4,509.37
  4. Step 4: Simplify right side
    7,800.81x = 52,789,729.04
  5. Step 5: Solve for x
    x = 52,789,729.04/7,800.81
  6. Step 6: Final answer
    x = 6,767.22

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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.