Home / 4,027-6,041.48-2,178.12

Finding the Fourth Proportional to 4,027, 6,041.48 and 2,178.12

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Solution

The fourth proportional to 4,027, 6,041.48 and 2,178.12 is: 3,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027 : 6,041.48 = 2,178.12 : x
  2. Step 2: Convert to fraction form
    4,027/6,041.48 = 2,178.12/x
  3. Step 3: Cross multiply
    4,027x = 6,041.48 × 2,178.12
  4. Step 4: Simplify right side
    4,027x = 13,159,068.42
  5. Step 5: Solve for x
    x = 13,159,068.42/4,027
  6. Step 6: Final answer
    x = 3,267.71

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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.