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Finding the Fourth Proportional to 17,764.20, 26,588.70 and 12,580.20

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Solution

The fourth proportional to 17,764.20, 26,588.70 and 12,580.20 is: 18,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.20 : 26,588.70 = 12,580.20 : x
  2. Step 2: Convert to fraction form
    17,764.20/26,588.70 = 12,580.20/x
  3. Step 3: Cross multiply
    17,764.20x = 26,588.70 × 12,580.20
  4. Step 4: Simplify right side
    17,764.20x = 334,491,163.74
  5. Step 5: Solve for x
    x = 334,491,163.74/17,764.20
  6. Step 6: Final answer
    x = 18,829.51

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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.