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Finding the Fourth Proportional to 11,674.90, 16,109.94 and 6,639.13

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Solution

The fourth proportional to 11,674.90, 16,109.94 and 6,639.13 is: 9,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.90 : 16,109.94 = 6,639.13 : x
  2. Step 2: Convert to fraction form
    11,674.90/16,109.94 = 6,639.13/x
  3. Step 3: Cross multiply
    11,674.90x = 16,109.94 × 6,639.13
  4. Step 4: Simplify right side
    11,674.90x = 106,955,985.95
  5. Step 5: Solve for x
    x = 106,955,985.95/11,674.90
  6. Step 6: Final answer
    x = 9,161.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.