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Finding the Fourth Proportional to 3,609.76, 5,410.48 and 1,967.08

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Solution

The fourth proportional to 3,609.76, 5,410.48 and 1,967.08 is: 2,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.76 : 5,410.48 = 1,967.08 : x
  2. Step 2: Convert to fraction form
    3,609.76/5,410.48 = 1,967.08/x
  3. Step 3: Cross multiply
    3,609.76x = 5,410.48 × 1,967.08
  4. Step 4: Simplify right side
    3,609.76x = 10,642,847.00
  5. Step 5: Solve for x
    x = 10,642,847.00/3,609.76
  6. Step 6: Final answer
    x = 2,948.35

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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.