Home / 7,781.40-11,669.23-2,782.42

Finding the Fourth Proportional to 7,781.40, 11,669.23 and 2,782.42

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Solution

The fourth proportional to 7,781.40, 11,669.23 and 2,782.42 is: 4,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.40 : 11,669.23 = 2,782.42 : x
  2. Step 2: Convert to fraction form
    7,781.40/11,669.23 = 2,782.42/x
  3. Step 3: Cross multiply
    7,781.40x = 11,669.23 × 2,782.42
  4. Step 4: Simplify right side
    7,781.40x = 32,468,685.02
  5. Step 5: Solve for x
    x = 32,468,685.02/7,781.40
  6. Step 6: Final answer
    x = 4,172.60

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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.