Home / 2,421.45-3,632.31-778.05

Finding the Fourth Proportional to 2,421.45, 3,632.31 and 778.05

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Solution

The fourth proportional to 2,421.45, 3,632.31 and 778.05 is: 1,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.45 : 3,632.31 = 778.05 : x
  2. Step 2: Convert to fraction form
    2,421.45/3,632.31 = 778.05/x
  3. Step 3: Cross multiply
    2,421.45x = 3,632.31 × 778.05
  4. Step 4: Simplify right side
    2,421.45x = 2,826,118.80
  5. Step 5: Solve for x
    x = 2,826,118.80/2,421.45
  6. Step 6: Final answer
    x = 1,167.12

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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.