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Finding the Fourth Proportional to 28,077.40, 42,116.10 and 11,431.90

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Solution

The fourth proportional to 28,077.40, 42,116.10 and 11,431.90 is: 17,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.40 : 42,116.10 = 11,431.90 : x
  2. Step 2: Convert to fraction form
    28,077.40/42,116.10 = 11,431.90/x
  3. Step 3: Cross multiply
    28,077.40x = 42,116.10 × 11,431.90
  4. Step 4: Simplify right side
    28,077.40x = 481,467,043.59
  5. Step 5: Solve for x
    x = 481,467,043.59/28,077.40
  6. Step 6: Final answer
    x = 17,147.85

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1.5x scale

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.