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Finding the Fourth Proportional to 33,208.60, 49,812.90 and 12,429.40

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Solution

The fourth proportional to 33,208.60, 49,812.90 and 12,429.40 is: 18,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.60 : 49,812.90 = 12,429.40 : x
  2. Step 2: Convert to fraction form
    33,208.60/49,812.90 = 12,429.40/x
  3. Step 3: Cross multiply
    33,208.60x = 49,812.90 × 12,429.40
  4. Step 4: Simplify right side
    33,208.60x = 619,144,459.26
  5. Step 5: Solve for x
    x = 619,144,459.26/33,208.60
  6. Step 6: Final answer
    x = 18,644.10

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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.