Home / 7,711.07-11,566.40-2,164.46

Finding the Fourth Proportional to 7,711.07, 11,566.40 and 2,164.46

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Solution

The fourth proportional to 7,711.07, 11,566.40 and 2,164.46 is: 3,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.07 : 11,566.40 = 2,164.46 : x
  2. Step 2: Convert to fraction form
    7,711.07/11,566.40 = 2,164.46/x
  3. Step 3: Cross multiply
    7,711.07x = 11,566.40 × 2,164.46
  4. Step 4: Simplify right side
    7,711.07x = 25,034,941.49
  5. Step 5: Solve for x
    x = 25,034,941.49/7,711.07
  6. Step 6: Final answer
    x = 3,246.63

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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.