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Finding the Fourth Proportional to 14,597.50, 20,144.57 and 8,309.88

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Solution

The fourth proportional to 14,597.50, 20,144.57 and 8,309.88 is: 11,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.50 : 20,144.57 = 8,309.88 : x
  2. Step 2: Convert to fraction form
    14,597.50/20,144.57 = 8,309.88/x
  3. Step 3: Cross multiply
    14,597.50x = 20,144.57 × 8,309.88
  4. Step 4: Simplify right side
    14,597.50x = 167,398,959.35
  5. Step 5: Solve for x
    x = 167,398,959.35/14,597.50
  6. Step 6: Final answer
    x = 11,467.65

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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.