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Finding the Fourth Proportional to 12,124.84, 16,732.14 and 6,819.70

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Solution

The fourth proportional to 12,124.84, 16,732.14 and 6,819.70 is: 9,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.84 : 16,732.14 = 6,819.70 : x
  2. Step 2: Convert to fraction form
    12,124.84/16,732.14 = 6,819.70/x
  3. Step 3: Cross multiply
    12,124.84x = 16,732.14 × 6,819.70
  4. Step 4: Simplify right side
    12,124.84x = 114,108,175.16
  5. Step 5: Solve for x
    x = 114,108,175.16/12,124.84
  6. Step 6: Final answer
    x = 9,411.11

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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.