Home / 4,284-6,415.68-2,087.36

Finding the Fourth Proportional to 4,284, 6,415.68 and 2,087.36

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Solution

The fourth proportional to 4,284, 6,415.68 and 2,087.36 is: 3,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 6,415.68 = 2,087.36 : x
  2. Step 2: Convert to fraction form
    4,284/6,415.68 = 2,087.36/x
  3. Step 3: Cross multiply
    4,284x = 6,415.68 × 2,087.36
  4. Step 4: Simplify right side
    4,284x = 13,391,833.80
  5. Step 5: Solve for x
    x = 13,391,833.80/4,284
  6. Step 6: Final answer
    x = 3,126.01

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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.