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Finding the Fourth Proportional to 7,802.73, 11,709.54 and 3,421.44

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Solution

The fourth proportional to 7,802.73, 11,709.54 and 3,421.44 is: 5,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.73 : 11,709.54 = 3,421.44 : x
  2. Step 2: Convert to fraction form
    7,802.73/11,709.54 = 3,421.44/x
  3. Step 3: Cross multiply
    7,802.73x = 11,709.54 × 3,421.44
  4. Step 4: Simplify right side
    7,802.73x = 40,063,488.54
  5. Step 5: Solve for x
    x = 40,063,488.54/7,802.73
  6. Step 6: Final answer
    x = 5,134.55

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1.5x scale

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.