Home / 2,421.35-3,632.13-777.90

Finding the Fourth Proportional to 2,421.35, 3,632.13 and 777.90

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Solution

The fourth proportional to 2,421.35, 3,632.13 and 777.90 is: 1,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.35 : 3,632.13 = 777.90 : x
  2. Step 2: Convert to fraction form
    2,421.35/3,632.13 = 777.90/x
  3. Step 3: Cross multiply
    2,421.35x = 3,632.13 × 777.90
  4. Step 4: Simplify right side
    2,421.35x = 2,825,433.93
  5. Step 5: Solve for x
    x = 2,825,433.93/2,421.35
  6. Step 6: Final answer
    x = 1,166.89

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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.