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Finding the Fourth Proportional to 30,408.48, 45,604.80 and 12,869.28

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Solution

The fourth proportional to 30,408.48, 45,604.80 and 12,869.28 is: 19,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.48 : 45,604.80 = 12,869.28 : x
  2. Step 2: Convert to fraction form
    30,408.48/45,604.80 = 12,869.28/x
  3. Step 3: Cross multiply
    30,408.48x = 45,604.80 × 12,869.28
  4. Step 4: Simplify right side
    30,408.48x = 586,900,940.54
  5. Step 5: Solve for x
    x = 586,900,940.54/30,408.48
  6. Step 6: Final answer
    x = 19,300.57

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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.