Home / 4,214-6,323.88-2,024.48

Finding the Fourth Proportional to 4,214, 6,323.88 and 2,024.48

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Solution

The fourth proportional to 4,214, 6,323.88 and 2,024.48 is: 3,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 6,323.88 = 2,024.48 : x
  2. Step 2: Convert to fraction form
    4,214/6,323.88 = 2,024.48/x
  3. Step 3: Cross multiply
    4,214x = 6,323.88 × 2,024.48
  4. Step 4: Simplify right side
    4,214x = 12,802,568.58
  5. Step 5: Solve for x
    x = 12,802,568.58/4,214
  6. Step 6: Final answer
    x = 3,038.10

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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.