Home / 3,723.84-5,580-1,414.08

Finding the Fourth Proportional to 3,723.84, 5,580 and 1,414.08

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Solution

The fourth proportional to 3,723.84, 5,580 and 1,414.08 is: 2,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,580 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,580 = 1,414.08/x
  3. Step 3: Cross multiply
    3,723.84x = 5,580 × 1,414.08
  4. Step 4: Simplify right side
    3,723.84x = 7,890,566.40
  5. Step 5: Solve for x
    x = 7,890,566.40/3,723.84
  6. Step 6: Final answer
    x = 2,118.93

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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.