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Finding the Fourth Proportional to 12,124, 16,731.84 and 7,409.44

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Solution

The fourth proportional to 12,124, 16,731.84 and 7,409.44 is: 10,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124 : 16,731.84 = 7,409.44 : x
  2. Step 2: Convert to fraction form
    12,124/16,731.84 = 7,409.44/x
  3. Step 3: Cross multiply
    12,124x = 16,731.84 × 7,409.44
  4. Step 4: Simplify right side
    12,124x = 123,973,564.57
  5. Step 5: Solve for x
    x = 123,973,564.57/12,124
  6. Step 6: Final answer
    x = 10,225.47

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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.