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Finding the Fourth Proportional to 12,503.20, 17,259.60 and 8,027.20

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Solution

The fourth proportional to 12,503.20, 17,259.60 and 8,027.20 is: 11,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.20 : 17,259.60 = 8,027.20 : x
  2. Step 2: Convert to fraction form
    12,503.20/17,259.60 = 8,027.20/x
  3. Step 3: Cross multiply
    12,503.20x = 17,259.60 × 8,027.20
  4. Step 4: Simplify right side
    12,503.20x = 138,546,261.12
  5. Step 5: Solve for x
    x = 138,546,261.12/12,503.20
  6. Step 6: Final answer
    x = 11,080.86

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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.