Home / 5,612.14-8,416.98-2,102

Finding the Fourth Proportional to 5,612.14, 8,416.98 and 2,102

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Solution

The fourth proportional to 5,612.14, 8,416.98 and 2,102 is: 3,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.14 : 8,416.98 = 2,102 : x
  2. Step 2: Convert to fraction form
    5,612.14/8,416.98 = 2,102/x
  3. Step 3: Cross multiply
    5,612.14x = 8,416.98 × 2,102
  4. Step 4: Simplify right side
    5,612.14x = 17,692,491.96
  5. Step 5: Solve for x
    x = 17,692,491.96/5,612.14
  6. Step 6: Final answer
    x = 3,152.54

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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.