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Finding the Fourth Proportional to 7,124.80, 10,671.14 and 3,429.80

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Solution

The fourth proportional to 7,124.80, 10,671.14 and 3,429.80 is: 5,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.80 : 10,671.14 = 3,429.80 : x
  2. Step 2: Convert to fraction form
    7,124.80/10,671.14 = 3,429.80/x
  3. Step 3: Cross multiply
    7,124.80x = 10,671.14 × 3,429.80
  4. Step 4: Simplify right side
    7,124.80x = 36,599,885.50
  5. Step 5: Solve for x
    x = 36,599,885.50/7,124.80
  6. Step 6: Final answer
    x = 5,136.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.