Home / 7,711.17-11,566.80-2,781.60

Finding the Fourth Proportional to 7,711.17, 11,566.80 and 2,781.60

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Solution

The fourth proportional to 7,711.17, 11,566.80 and 2,781.60 is: 4,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.17 : 11,566.80 = 2,781.60 : x
  2. Step 2: Convert to fraction form
    7,711.17/11,566.80 = 2,781.60/x
  3. Step 3: Cross multiply
    7,711.17x = 11,566.80 × 2,781.60
  4. Step 4: Simplify right side
    7,711.17x = 32,174,210.88
  5. Step 5: Solve for x
    x = 32,174,210.88/7,711.17
  6. Step 6: Final answer
    x = 4,172.42

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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.