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Finding the Fourth Proportional to 30,842.73, 42,563.03 and 16,695.54

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Solution

The fourth proportional to 30,842.73, 42,563.03 and 16,695.54 is: 23,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.73 : 42,563.03 = 16,695.54 : x
  2. Step 2: Convert to fraction form
    30,842.73/42,563.03 = 16,695.54/x
  3. Step 3: Cross multiply
    30,842.73x = 42,563.03 × 16,695.54
  4. Step 4: Simplify right side
    30,842.73x = 710,612,686.41
  5. Step 5: Solve for x
    x = 710,612,686.41/30,842.73
  6. Step 6: Final answer
    x = 23,039.88

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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.