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Finding the Fourth Proportional to 30,615.38, 45,923.30 and 8,429.97

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Solution

The fourth proportional to 30,615.38, 45,923.30 and 8,429.97 is: 12,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.38 : 45,923.30 = 8,429.97 : x
  2. Step 2: Convert to fraction form
    30,615.38/45,923.30 = 8,429.97/x
  3. Step 3: Cross multiply
    30,615.38x = 45,923.30 × 8,429.97
  4. Step 4: Simplify right side
    30,615.38x = 387,132,041.30
  5. Step 5: Solve for x
    x = 387,132,041.30/30,615.38
  6. Step 6: Final answer
    x = 12,645.02

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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.