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Finding the Fourth Proportional to 30,890, 42,631.08 and 17,642

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Solution

The fourth proportional to 30,890, 42,631.08 and 17,642 is: 24,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890 : 42,631.08 = 17,642 : x
  2. Step 2: Convert to fraction form
    30,890/42,631.08 = 17,642/x
  3. Step 3: Cross multiply
    30,890x = 42,631.08 × 17,642
  4. Step 4: Simplify right side
    30,890x = 752,097,513.36
  5. Step 5: Solve for x
    x = 752,097,513.36/30,890
  6. Step 6: Final answer
    x = 24,347.60

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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.