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Finding the Fourth Proportional to 13,502, 18,633.48 and 7,914.80

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Solution

The fourth proportional to 13,502, 18,633.48 and 7,914.80 is: 10,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 18,633.48 = 7,914.80 : x
  2. Step 2: Convert to fraction form
    13,502/18,633.48 = 7,914.80/x
  3. Step 3: Cross multiply
    13,502x = 18,633.48 × 7,914.80
  4. Step 4: Simplify right side
    13,502x = 147,480,267.50
  5. Step 5: Solve for x
    x = 147,480,267.50/13,502
  6. Step 6: Final answer
    x = 10,922.85

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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.