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Finding the Fourth Proportional to 12,684.45, 17,506.39 and 7,305.84

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Solution

The fourth proportional to 12,684.45, 17,506.39 and 7,305.84 is: 10,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.45 : 17,506.39 = 7,305.84 : x
  2. Step 2: Convert to fraction form
    12,684.45/17,506.39 = 7,305.84/x
  3. Step 3: Cross multiply
    12,684.45x = 17,506.39 × 7,305.84
  4. Step 4: Simplify right side
    12,684.45x = 127,898,827.80
  5. Step 5: Solve for x
    x = 127,898,827.80/12,684.45
  6. Step 6: Final answer
    x = 10,083.12

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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.