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Finding the Fourth Proportional to 21,613.44, 32,418.48 and 6,822.80

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Solution

The fourth proportional to 21,613.44, 32,418.48 and 6,822.80 is: 10,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.44 : 32,418.48 = 6,822.80 : x
  2. Step 2: Convert to fraction form
    21,613.44/32,418.48 = 6,822.80/x
  3. Step 3: Cross multiply
    21,613.44x = 32,418.48 × 6,822.80
  4. Step 4: Simplify right side
    21,613.44x = 221,184,805.34
  5. Step 5: Solve for x
    x = 221,184,805.34/21,613.44
  6. Step 6: Final answer
    x = 10,233.67

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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.