Home / 8,121.08-12,180-2,277.74

Finding the Fourth Proportional to 8,121.08, 12,180 and 2,277.74

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Solution

The fourth proportional to 8,121.08, 12,180 and 2,277.74 is: 3,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.08 : 12,180 = 2,277.74 : x
  2. Step 2: Convert to fraction form
    8,121.08/12,180 = 2,277.74/x
  3. Step 3: Cross multiply
    8,121.08x = 12,180 × 2,277.74
  4. Step 4: Simplify right side
    8,121.08x = 27,742,873.20
  5. Step 5: Solve for x
    x = 27,742,873.20/8,121.08
  6. Step 6: Final answer
    x = 3,416.16

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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.