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Finding the Fourth Proportional to 30,602.69, 45,904.23 and 8,418.41

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Solution

The fourth proportional to 30,602.69, 45,904.23 and 8,418.41 is: 12,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.69 : 45,904.23 = 8,418.41 : x
  2. Step 2: Convert to fraction form
    30,602.69/45,904.23 = 8,418.41/x
  3. Step 3: Cross multiply
    30,602.69x = 45,904.23 × 8,418.41
  4. Step 4: Simplify right side
    30,602.69x = 386,440,399.35
  5. Step 5: Solve for x
    x = 386,440,399.35/30,602.69
  6. Step 6: Final answer
    x = 12,627.66

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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.