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Finding the Fourth Proportional to 30,855.94, 42,581.50 and 16,709.09

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Solution

The fourth proportional to 30,855.94, 42,581.50 and 16,709.09 is: 23,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.94 : 42,581.50 = 16,709.09 : x
  2. Step 2: Convert to fraction form
    30,855.94/42,581.50 = 16,709.09/x
  3. Step 3: Cross multiply
    30,855.94x = 42,581.50 × 16,709.09
  4. Step 4: Simplify right side
    30,855.94x = 711,497,861.15
  5. Step 5: Solve for x
    x = 711,497,861.15/30,855.94
  6. Step 6: Final answer
    x = 23,058.70

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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.