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Finding the Fourth Proportional to 30,603.14, 45,899.42 and 8,113.97

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Solution

The fourth proportional to 30,603.14, 45,899.42 and 8,113.97 is: 12,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.14 : 45,899.42 = 8,113.97 : x
  2. Step 2: Convert to fraction form
    30,603.14/45,899.42 = 8,113.97/x
  3. Step 3: Cross multiply
    30,603.14x = 45,899.42 × 8,113.97
  4. Step 4: Simplify right side
    30,603.14x = 372,426,516.90
  5. Step 5: Solve for x
    x = 372,426,516.90/30,603.14
  6. Step 6: Final answer
    x = 12,169.55

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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.