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Finding the Fourth Proportional to 7,246, 10,860.81 and 3,342.34

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Solution

The fourth proportional to 7,246, 10,860.81 and 3,342.34 is: 5,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246 : 10,860.81 = 3,342.34 : x
  2. Step 2: Convert to fraction form
    7,246/10,860.81 = 3,342.34/x
  3. Step 3: Cross multiply
    7,246x = 10,860.81 × 3,342.34
  4. Step 4: Simplify right side
    7,246x = 36,300,519.70
  5. Step 5: Solve for x
    x = 36,300,519.70/7,246
  6. Step 6: Final answer
    x = 5,009.73

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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.