Home / 7,212-10,799.24-6,178.64

Finding the Fourth Proportional to 7,212, 10,799.24 and 6,178.64

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Solution

The fourth proportional to 7,212, 10,799.24 and 6,178.64 is: 9,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212 : 10,799.24 = 6,178.64 : x
  2. Step 2: Convert to fraction form
    7,212/10,799.24 = 6,178.64/x
  3. Step 3: Cross multiply
    7,212x = 10,799.24 × 6,178.64
  4. Step 4: Simplify right side
    7,212x = 66,724,616.23
  5. Step 5: Solve for x
    x = 66,724,616.23/7,212
  6. Step 6: Final answer
    x = 9,251.89

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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.