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Finding the Fourth Proportional to 30,871.92, 42,605.22 and 18,933.63

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Solution

The fourth proportional to 30,871.92, 42,605.22 and 18,933.63 is: 26,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.92 : 42,605.22 = 18,933.63 : x
  2. Step 2: Convert to fraction form
    30,871.92/42,605.22 = 18,933.63/x
  3. Step 3: Cross multiply
    30,871.92x = 42,605.22 × 18,933.63
  4. Step 4: Simplify right side
    30,871.92x = 806,671,462.68
  5. Step 5: Solve for x
    x = 806,671,462.68/30,871.92
  6. Step 6: Final answer
    x = 26,129.62

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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.