Home / 6,027-9,038.28-2,077.20

Finding the Fourth Proportional to 6,027, 9,038.28 and 2,077.20

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Solution

The fourth proportional to 6,027, 9,038.28 and 2,077.20 is: 3,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027 : 9,038.28 = 2,077.20 : x
  2. Step 2: Convert to fraction form
    6,027/9,038.28 = 2,077.20/x
  3. Step 3: Cross multiply
    6,027x = 9,038.28 × 2,077.20
  4. Step 4: Simplify right side
    6,027x = 18,774,315.22
  5. Step 5: Solve for x
    x = 18,774,315.22/6,027
  6. Step 6: Final answer
    x = 3,115.03

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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.