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Finding the Fourth Proportional to 30,419.70, 45,631.16 and 9,644.82

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Solution

The fourth proportional to 30,419.70, 45,631.16 and 9,644.82 is: 14,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.70 : 45,631.16 = 9,644.82 : x
  2. Step 2: Convert to fraction form
    30,419.70/45,631.16 = 9,644.82/x
  3. Step 3: Cross multiply
    30,419.70x = 45,631.16 × 9,644.82
  4. Step 4: Simplify right side
    30,419.70x = 440,104,324.59
  5. Step 5: Solve for x
    x = 440,104,324.59/30,419.70
  6. Step 6: Final answer
    x = 14,467.74

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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.