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Finding the Fourth Proportional to 13,613.80, 18,782.22 and 8,897.80

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Solution

The fourth proportional to 13,613.80, 18,782.22 and 8,897.80 is: 12,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.80 : 18,782.22 = 8,897.80 : x
  2. Step 2: Convert to fraction form
    13,613.80/18,782.22 = 8,897.80/x
  3. Step 3: Cross multiply
    13,613.80x = 18,782.22 × 8,897.80
  4. Step 4: Simplify right side
    13,613.80x = 167,120,437.12
  5. Step 5: Solve for x
    x = 167,120,437.12/13,613.80
  6. Step 6: Final answer
    x = 12,275.81

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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.