Home / 4,162.42-6,243-1,564.75

Finding the Fourth Proportional to 4,162.42, 6,243 and 1,564.75

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Solution

The fourth proportional to 4,162.42, 6,243 and 1,564.75 is: 2,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.42 : 6,243 = 1,564.75 : x
  2. Step 2: Convert to fraction form
    4,162.42/6,243 = 1,564.75/x
  3. Step 3: Cross multiply
    4,162.42x = 6,243 × 1,564.75
  4. Step 4: Simplify right side
    4,162.42x = 9,768,734.25
  5. Step 5: Solve for x
    x = 9,768,734.25/4,162.42
  6. Step 6: Final answer
    x = 2,346.89

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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.