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Finding the Fourth Proportional to 12,124.64, 16,731.42 and 6,819.96

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Solution

The fourth proportional to 12,124.64, 16,731.42 and 6,819.96 is: 9,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.64 : 16,731.42 = 6,819.96 : x
  2. Step 2: Convert to fraction form
    12,124.64/16,731.42 = 6,819.96/x
  3. Step 3: Cross multiply
    12,124.64x = 16,731.42 × 6,819.96
  4. Step 4: Simplify right side
    12,124.64x = 114,107,615.14
  5. Step 5: Solve for x
    x = 114,107,615.14/12,124.64
  6. Step 6: Final answer
    x = 9,411.22

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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.