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Finding the Fourth Proportional to 30,310.74, 45,455.18 and 12,771

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Solution

The fourth proportional to 30,310.74, 45,455.18 and 12,771 is: 19,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310.74 : 45,455.18 = 12,771 : x
  2. Step 2: Convert to fraction form
    30,310.74/45,455.18 = 12,771/x
  3. Step 3: Cross multiply
    30,310.74x = 45,455.18 × 12,771
  4. Step 4: Simplify right side
    30,310.74x = 580,508,039.93
  5. Step 5: Solve for x
    x = 580,508,039.93/30,310.74
  6. Step 6: Final answer
    x = 19,151.89

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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.