Home / 8,118.26-12,178-2,572.04

Finding the Fourth Proportional to 8,118.26, 12,178 and 2,572.04

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Solution

The fourth proportional to 8,118.26, 12,178 and 2,572.04 is: 3,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.26 : 12,178 = 2,572.04 : x
  2. Step 2: Convert to fraction form
    8,118.26/12,178 = 2,572.04/x
  3. Step 3: Cross multiply
    8,118.26x = 12,178 × 2,572.04
  4. Step 4: Simplify right side
    8,118.26x = 31,322,303.12
  5. Step 5: Solve for x
    x = 31,322,303.12/8,118.26
  6. Step 6: Final answer
    x = 3,858.25

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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.