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Finding the Fourth Proportional to 9,205, 13,785.54 and 5,301.22

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Solution

The fourth proportional to 9,205, 13,785.54 and 5,301.22 is: 7,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205 : 13,785.54 = 5,301.22 : x
  2. Step 2: Convert to fraction form
    9,205/13,785.54 = 5,301.22/x
  3. Step 3: Cross multiply
    9,205x = 13,785.54 × 5,301.22
  4. Step 4: Simplify right side
    9,205x = 73,080,180.36
  5. Step 5: Solve for x
    x = 73,080,180.36/9,205
  6. Step 6: Final answer
    x = 7,939.18

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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.