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Finding the Fourth Proportional to 11,604, 17,398.08 and 3,811.68

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Solution

The fourth proportional to 11,604, 17,398.08 and 3,811.68 is: 5,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604 : 17,398.08 = 3,811.68 : x
  2. Step 2: Convert to fraction form
    11,604/17,398.08 = 3,811.68/x
  3. Step 3: Cross multiply
    11,604x = 17,398.08 × 3,811.68
  4. Step 4: Simplify right side
    11,604x = 66,315,913.57
  5. Step 5: Solve for x
    x = 66,315,913.57/11,604
  6. Step 6: Final answer
    x = 5,714.92

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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.