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Finding the Fourth Proportional to 30,354.33, 45,525.95 and 8,162.52

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Solution

The fourth proportional to 30,354.33, 45,525.95 and 8,162.52 is: 12,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.33 : 45,525.95 = 8,162.52 : x
  2. Step 2: Convert to fraction form
    30,354.33/45,525.95 = 8,162.52/x
  3. Step 3: Cross multiply
    30,354.33x = 45,525.95 × 8,162.52
  4. Step 4: Simplify right side
    30,354.33x = 371,606,477.39
  5. Step 5: Solve for x
    x = 371,606,477.39/30,354.33
  6. Step 6: Final answer
    x = 12,242.29

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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.