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Finding the Fourth Proportional to 13,402.40, 20,108.40 and 5,613.60

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Solution

The fourth proportional to 13,402.40, 20,108.40 and 5,613.60 is: 8,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.40 : 20,108.40 = 5,613.60 : x
  2. Step 2: Convert to fraction form
    13,402.40/20,108.40 = 5,613.60/x
  3. Step 3: Cross multiply
    13,402.40x = 20,108.40 × 5,613.60
  4. Step 4: Simplify right side
    13,402.40x = 112,880,514.24
  5. Step 5: Solve for x
    x = 112,880,514.24/13,402.40
  6. Step 6: Final answer
    x = 8,422.41

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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.