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Finding the Fourth Proportional to 21,782.15, 32,673.42 and 7,742.42

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Solution

The fourth proportional to 21,782.15, 32,673.42 and 7,742.42 is: 11,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.15 : 32,673.42 = 7,742.42 : x
  2. Step 2: Convert to fraction form
    21,782.15/32,673.42 = 7,742.42/x
  3. Step 3: Cross multiply
    21,782.15x = 32,673.42 × 7,742.42
  4. Step 4: Simplify right side
    21,782.15x = 252,971,177.11
  5. Step 5: Solve for x
    x = 252,971,177.11/21,782.15
  6. Step 6: Final answer
    x = 11,613.69

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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.