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Finding the Fourth Proportional to 30,810, 42,517.62 and 16,662.80

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Solution

The fourth proportional to 30,810, 42,517.62 and 16,662.80 is: 22,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 42,517.62 = 16,662.80 : x
  2. Step 2: Convert to fraction form
    30,810/42,517.62 = 16,662.80/x
  3. Step 3: Cross multiply
    30,810x = 42,517.62 × 16,662.80
  4. Step 4: Simplify right side
    30,810x = 708,462,598.54
  5. Step 5: Solve for x
    x = 708,462,598.54/30,810
  6. Step 6: Final answer
    x = 22,994.57

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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.