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Finding the Fourth Proportional to 13,615.86, 20,410.02 and 5,290.68

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Solution

The fourth proportional to 13,615.86, 20,410.02 and 5,290.68 is: 7,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.86 : 20,410.02 = 5,290.68 : x
  2. Step 2: Convert to fraction form
    13,615.86/20,410.02 = 5,290.68/x
  3. Step 3: Cross multiply
    13,615.86x = 20,410.02 × 5,290.68
  4. Step 4: Simplify right side
    13,615.86x = 107,982,884.61
  5. Step 5: Solve for x
    x = 107,982,884.61/13,615.86
  6. Step 6: Final answer
    x = 7,930.67

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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.