Home / 7,814-11,723.88-4,116.08

Finding the Fourth Proportional to 7,814, 11,723.88 and 4,116.08

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Solution

The fourth proportional to 7,814, 11,723.88 and 4,116.08 is: 6,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 11,723.88 = 4,116.08 : x
  2. Step 2: Convert to fraction form
    7,814/11,723.88 = 4,116.08/x
  3. Step 3: Cross multiply
    7,814x = 11,723.88 × 4,116.08
  4. Step 4: Simplify right side
    7,814x = 48,256,427.99
  5. Step 5: Solve for x
    x = 48,256,427.99/7,814
  6. Step 6: Final answer
    x = 6,175.64

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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.