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Finding the Fourth Proportional to 30,810, 42,517.80 and 19,638.48

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Solution

The fourth proportional to 30,810, 42,517.80 and 19,638.48 is: 27,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 42,517.80 = 19,638.48 : x
  2. Step 2: Convert to fraction form
    30,810/42,517.80 = 19,638.48/x
  3. Step 3: Cross multiply
    30,810x = 42,517.80 × 19,638.48
  4. Step 4: Simplify right side
    30,810x = 834,984,964.94
  5. Step 5: Solve for x
    x = 834,984,964.94/30,810
  6. Step 6: Final answer
    x = 27,101.10

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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.