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Finding the Fourth Proportional to 8,348.94, 12,525 and 3,158.46

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Solution

The fourth proportional to 8,348.94, 12,525 and 3,158.46 is: 4,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.94 : 12,525 = 3,158.46 : x
  2. Step 2: Convert to fraction form
    8,348.94/12,525 = 3,158.46/x
  3. Step 3: Cross multiply
    8,348.94x = 12,525 × 3,158.46
  4. Step 4: Simplify right side
    8,348.94x = 39,559,711.50
  5. Step 5: Solve for x
    x = 39,559,711.50/8,348.94
  6. Step 6: Final answer
    x = 4,738.29

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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.