Home / 4,784-7,178.42-2,187.56

Finding the Fourth Proportional to 4,784, 7,178.42 and 2,187.56

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Solution

The fourth proportional to 4,784, 7,178.42 and 2,187.56 is: 3,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784 : 7,178.42 = 2,187.56 : x
  2. Step 2: Convert to fraction form
    4,784/7,178.42 = 2,187.56/x
  3. Step 3: Cross multiply
    4,784x = 7,178.42 × 2,187.56
  4. Step 4: Simplify right side
    4,784x = 15,703,224.46
  5. Step 5: Solve for x
    x = 15,703,224.46/4,784
  6. Step 6: Final answer
    x = 3,282.45

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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.