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Finding the Fourth Proportional to 30,908, 42,653.31 and 16,760.85

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Solution

The fourth proportional to 30,908, 42,653.31 and 16,760.85 is: 23,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908 : 42,653.31 = 16,760.85 : x
  2. Step 2: Convert to fraction form
    30,908/42,653.31 = 16,760.85/x
  3. Step 3: Cross multiply
    30,908x = 42,653.31 × 16,760.85
  4. Step 4: Simplify right side
    30,908x = 714,905,433.84
  5. Step 5: Solve for x
    x = 714,905,433.84/30,908
  6. Step 6: Final answer
    x = 23,130.11

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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.