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Finding the Fourth Proportional to 7,903.05, 11,851.34 and 2,970.05

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Solution

The fourth proportional to 7,903.05, 11,851.34 and 2,970.05 is: 4,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.05 : 11,851.34 = 2,970.05 : x
  2. Step 2: Convert to fraction form
    7,903.05/11,851.34 = 2,970.05/x
  3. Step 3: Cross multiply
    7,903.05x = 11,851.34 × 2,970.05
  4. Step 4: Simplify right side
    7,903.05x = 35,198,998.26
  5. Step 5: Solve for x
    x = 35,198,998.26/7,903.05
  6. Step 6: Final answer
    x = 4,453.85

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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.