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Finding the Fourth Proportional to 7,070.26, 9,756.84 and 3,926.38

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Solution

The fourth proportional to 7,070.26, 9,756.84 and 3,926.38 is: 5,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.26 : 9,756.84 = 3,926.38 : x
  2. Step 2: Convert to fraction form
    7,070.26/9,756.84 = 3,926.38/x
  3. Step 3: Cross multiply
    7,070.26x = 9,756.84 × 3,926.38
  4. Step 4: Simplify right side
    7,070.26x = 38,309,061.44
  5. Step 5: Solve for x
    x = 38,309,061.44/7,070.26
  6. Step 6: Final answer
    x = 5,418.34

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1.5x scale

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.