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Finding the Fourth Proportional to 30,449, 45,692.70 and 11,980.52

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Solution

The fourth proportional to 30,449, 45,692.70 and 11,980.52 is: 17,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449 : 45,692.70 = 11,980.52 : x
  2. Step 2: Convert to fraction form
    30,449/45,692.70 = 11,980.52/x
  3. Step 3: Cross multiply
    30,449x = 45,692.70 × 11,980.52
  4. Step 4: Simplify right side
    30,449x = 547,422,306.20
  5. Step 5: Solve for x
    x = 547,422,306.20/30,449
  6. Step 6: Final answer
    x = 17,978.33

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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.