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Finding the Fourth Proportional to 30,638.66, 45,971.07 and 14,855.36

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Solution

The fourth proportional to 30,638.66, 45,971.07 and 14,855.36 is: 22,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.66 : 45,971.07 = 14,855.36 : x
  2. Step 2: Convert to fraction form
    30,638.66/45,971.07 = 14,855.36/x
  3. Step 3: Cross multiply
    30,638.66x = 45,971.07 × 14,855.36
  4. Step 4: Simplify right side
    30,638.66x = 682,916,564.58
  5. Step 5: Solve for x
    x = 682,916,564.58/30,638.66
  6. Step 6: Final answer
    x = 22,289.38

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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.