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Finding the Fourth Proportional to 30,889, 42,629.70 and 17,641

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Solution

The fourth proportional to 30,889, 42,629.70 and 17,641 is: 24,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889 : 42,629.70 = 17,641 : x
  2. Step 2: Convert to fraction form
    30,889/42,629.70 = 17,641/x
  3. Step 3: Cross multiply
    30,889x = 42,629.70 × 17,641
  4. Step 4: Simplify right side
    30,889x = 752,030,537.70
  5. Step 5: Solve for x
    x = 752,030,537.70/30,889
  6. Step 6: Final answer
    x = 24,346.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.