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Finding the Fourth Proportional to 7,070.33, 9,756.67 and 3,926.31

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Solution

The fourth proportional to 7,070.33, 9,756.67 and 3,926.31 is: 5,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.33 : 9,756.67 = 3,926.31 : x
  2. Step 2: Convert to fraction form
    7,070.33/9,756.67 = 3,926.31/x
  3. Step 3: Cross multiply
    7,070.33x = 9,756.67 × 3,926.31
  4. Step 4: Simplify right side
    7,070.33x = 38,307,710.99
  5. Step 5: Solve for x
    x = 38,307,710.99/7,070.33
  6. Step 6: Final answer
    x = 5,418.09

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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.