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Finding the Fourth Proportional to 12,224.53, 18,336.80 and 7,869.67

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Solution

The fourth proportional to 12,224.53, 18,336.80 and 7,869.67 is: 11,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.53 : 18,336.80 = 7,869.67 : x
  2. Step 2: Convert to fraction form
    12,224.53/18,336.80 = 7,869.67/x
  3. Step 3: Cross multiply
    12,224.53x = 18,336.80 × 7,869.67
  4. Step 4: Simplify right side
    12,224.53x = 144,304,564.86
  5. Step 5: Solve for x
    x = 144,304,564.86/12,224.53
  6. Step 6: Final answer
    x = 11,804.51

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1.5x scale

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.