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Finding the Fourth Proportional to 9,145.38, 13,707 and 4,208.22

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Solution

The fourth proportional to 9,145.38, 13,707 and 4,208.22 is: 6,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.38 : 13,707 = 4,208.22 : x
  2. Step 2: Convert to fraction form
    9,145.38/13,707 = 4,208.22/x
  3. Step 3: Cross multiply
    9,145.38x = 13,707 × 4,208.22
  4. Step 4: Simplify right side
    9,145.38x = 57,682,071.54
  5. Step 5: Solve for x
    x = 57,682,071.54/9,145.38
  6. Step 6: Final answer
    x = 6,307.24

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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.