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Finding the Fourth Proportional to 7,069.80, 9,756.54 and 3,926.46

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Solution

The fourth proportional to 7,069.80, 9,756.54 and 3,926.46 is: 5,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.80 : 9,756.54 = 3,926.46 : x
  2. Step 2: Convert to fraction form
    7,069.80/9,756.54 = 3,926.46/x
  3. Step 3: Cross multiply
    7,069.80x = 9,756.54 × 3,926.46
  4. Step 4: Simplify right side
    7,069.80x = 38,308,664.05
  5. Step 5: Solve for x
    x = 38,308,664.05/7,069.80
  6. Step 6: Final answer
    x = 5,418.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.