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Finding the Fourth Proportional to 30,438, 45,662.76 and 14,022

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Solution

The fourth proportional to 30,438, 45,662.76 and 14,022 is: 21,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 45,662.76 = 14,022 : x
  2. Step 2: Convert to fraction form
    30,438/45,662.76 = 14,022/x
  3. Step 3: Cross multiply
    30,438x = 45,662.76 × 14,022
  4. Step 4: Simplify right side
    30,438x = 640,283,220.72
  5. Step 5: Solve for x
    x = 640,283,220.72/30,438
  6. Step 6: Final answer
    x = 21,035.65

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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.