Home / 8,202.12-11,317.50-5,406

Finding the Fourth Proportional to 8,202.12, 11,317.50 and 5,406

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Solution

The fourth proportional to 8,202.12, 11,317.50 and 5,406 is: 7,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.12 : 11,317.50 = 5,406 : x
  2. Step 2: Convert to fraction form
    8,202.12/11,317.50 = 5,406/x
  3. Step 3: Cross multiply
    8,202.12x = 11,317.50 × 5,406
  4. Step 4: Simplify right side
    8,202.12x = 61,182,405
  5. Step 5: Solve for x
    x = 61,182,405/8,202.12
  6. Step 6: Final answer
    x = 7,459.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.