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Finding the Fourth Proportional to 9,139.35, 13,698 and 4,202.22

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Solution

The fourth proportional to 9,139.35, 13,698 and 4,202.22 is: 6,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.35 : 13,698 = 4,202.22 : x
  2. Step 2: Convert to fraction form
    9,139.35/13,698 = 4,202.22/x
  3. Step 3: Cross multiply
    9,139.35x = 13,698 × 4,202.22
  4. Step 4: Simplify right side
    9,139.35x = 57,562,009.56
  5. Step 5: Solve for x
    x = 57,562,009.56/9,139.35
  6. Step 6: Final answer
    x = 6,298.26

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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.