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Finding the Fourth Proportional to 11,329.63, 16,980.06 and 6,402.03

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Solution

The fourth proportional to 11,329.63, 16,980.06 and 6,402.03 is: 9,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.63 : 16,980.06 = 6,402.03 : x
  2. Step 2: Convert to fraction form
    11,329.63/16,980.06 = 6,402.03/x
  3. Step 3: Cross multiply
    11,329.63x = 16,980.06 × 6,402.03
  4. Step 4: Simplify right side
    11,329.63x = 108,706,813.85
  5. Step 5: Solve for x
    x = 108,706,813.85/11,329.63
  6. Step 6: Final answer
    x = 9,594.92

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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.