Home / 5,782-8,675.63-2,451.16

Finding the Fourth Proportional to 5,782, 8,675.63 and 2,451.16

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Solution

The fourth proportional to 5,782, 8,675.63 and 2,451.16 is: 3,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 8,675.63 = 2,451.16 : x
  2. Step 2: Convert to fraction form
    5,782/8,675.63 = 2,451.16/x
  3. Step 3: Cross multiply
    5,782x = 8,675.63 × 2,451.16
  4. Step 4: Simplify right side
    5,782x = 21,265,357.23
  5. Step 5: Solve for x
    x = 21,265,357.23/5,782
  6. Step 6: Final answer
    x = 3,677.85

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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.