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Finding the Fourth Proportional to 31,143.73, 42,978.34 and 16,996.58

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Solution

The fourth proportional to 31,143.73, 42,978.34 and 16,996.58 is: 23,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.73 : 42,978.34 = 16,996.58 : x
  2. Step 2: Convert to fraction form
    31,143.73/42,978.34 = 16,996.58/x
  3. Step 3: Cross multiply
    31,143.73x = 42,978.34 × 16,996.58
  4. Step 4: Simplify right side
    31,143.73x = 730,484,592.92
  5. Step 5: Solve for x
    x = 730,484,592.92/31,143.73
  6. Step 6: Final answer
    x = 23,455.27

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1.5x scale

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.