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Finding the Fourth Proportional to 13,609.52, 20,420.04 and 5,713.80

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Solution

The fourth proportional to 13,609.52, 20,420.04 and 5,713.80 is: 8,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.52 : 20,420.04 = 5,713.80 : x
  2. Step 2: Convert to fraction form
    13,609.52/20,420.04 = 5,713.80/x
  3. Step 3: Cross multiply
    13,609.52x = 20,420.04 × 5,713.80
  4. Step 4: Simplify right side
    13,609.52x = 116,676,024.55
  5. Step 5: Solve for x
    x = 116,676,024.55/13,609.52
  6. Step 6: Final answer
    x = 8,573.12

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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.