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Finding the Fourth Proportional to 30,958, 42,720.96 and 16,810.60

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Solution

The fourth proportional to 30,958, 42,720.96 and 16,810.60 is: 23,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,958 : 42,720.96 = 16,810.60 : x
  2. Step 2: Convert to fraction form
    30,958/42,720.96 = 16,810.60/x
  3. Step 3: Cross multiply
    30,958x = 42,720.96 × 16,810.60
  4. Step 4: Simplify right side
    30,958x = 718,164,970.18
  5. Step 5: Solve for x
    x = 718,164,970.18/30,958
  6. Step 6: Final answer
    x = 23,198.04

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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.