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Finding the Fourth Proportional to 12,309.74, 16,988.87 and 6,932.23

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Solution

The fourth proportional to 12,309.74, 16,988.87 and 6,932.23 is: 9,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.74 : 16,988.87 = 6,932.23 : x
  2. Step 2: Convert to fraction form
    12,309.74/16,988.87 = 6,932.23/x
  3. Step 3: Cross multiply
    12,309.74x = 16,988.87 × 6,932.23
  4. Step 4: Simplify right side
    12,309.74x = 117,770,792.85
  5. Step 5: Solve for x
    x = 117,770,792.85/12,309.74
  6. Step 6: Final answer
    x = 9,567.28

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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.