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Finding the Fourth Proportional to 30,461.69, 45,661.10 and 12,701.88

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Solution

The fourth proportional to 30,461.69, 45,661.10 and 12,701.88 is: 19,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.69 : 45,661.10 = 12,701.88 : x
  2. Step 2: Convert to fraction form
    30,461.69/45,661.10 = 12,701.88/x
  3. Step 3: Cross multiply
    30,461.69x = 45,661.10 × 12,701.88
  4. Step 4: Simplify right side
    30,461.69x = 579,981,749.36
  5. Step 5: Solve for x
    x = 579,981,749.36/30,461.69
  6. Step 6: Final answer
    x = 19,039.71

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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.