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Finding the Fourth Proportional to 30,980, 42,750.80 and 16,832.48

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Solution

The fourth proportional to 30,980, 42,750.80 and 16,832.48 is: 23,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980 : 42,750.80 = 16,832.48 : x
  2. Step 2: Convert to fraction form
    30,980/42,750.80 = 16,832.48/x
  3. Step 3: Cross multiply
    30,980x = 42,750.80 × 16,832.48
  4. Step 4: Simplify right side
    30,980x = 719,601,985.98
  5. Step 5: Solve for x
    x = 719,601,985.98/30,980
  6. Step 6: Final answer
    x = 23,227.95

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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.