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Finding the Fourth Proportional to 12,355, 18,532.50 and 5,429.68

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Solution

The fourth proportional to 12,355, 18,532.50 and 5,429.68 is: 8,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355 : 18,532.50 = 5,429.68 : x
  2. Step 2: Convert to fraction form
    12,355/18,532.50 = 5,429.68/x
  3. Step 3: Cross multiply
    12,355x = 18,532.50 × 5,429.68
  4. Step 4: Simplify right side
    12,355x = 100,625,544.60
  5. Step 5: Solve for x
    x = 100,625,544.60/12,355
  6. Step 6: Final answer
    x = 8,144.52

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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.