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Finding the Fourth Proportional to 30,456.29, 45,692.22 and 11,731.30

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Solution

The fourth proportional to 30,456.29, 45,692.22 and 11,731.30 is: 17,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.29 : 45,692.22 = 11,731.30 : x
  2. Step 2: Convert to fraction form
    30,456.29/45,692.22 = 11,731.30/x
  3. Step 3: Cross multiply
    30,456.29x = 45,692.22 × 11,731.30
  4. Step 4: Simplify right side
    30,456.29x = 536,029,140.49
  5. Step 5: Solve for x
    x = 536,029,140.49/30,456.29
  6. Step 6: Final answer
    x = 17,599.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.