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Finding the Fourth Proportional to 28,131.64, 42,200.64 and 9,414.16

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Solution

The fourth proportional to 28,131.64, 42,200.64 and 9,414.16 is: 14,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.64 : 42,200.64 = 9,414.16 : x
  2. Step 2: Convert to fraction form
    28,131.64/42,200.64 = 9,414.16/x
  3. Step 3: Cross multiply
    28,131.64x = 42,200.64 × 9,414.16
  4. Step 4: Simplify right side
    28,131.64x = 397,283,577.06
  5. Step 5: Solve for x
    x = 397,283,577.06/28,131.64
  6. Step 6: Final answer
    x = 14,122.30

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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.