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Finding the Fourth Proportional to 13,510.92, 20,252.46 and 5,188.68

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Solution

The fourth proportional to 13,510.92, 20,252.46 and 5,188.68 is: 7,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.92 : 20,252.46 = 5,188.68 : x
  2. Step 2: Convert to fraction form
    13,510.92/20,252.46 = 5,188.68/x
  3. Step 3: Cross multiply
    13,510.92x = 20,252.46 × 5,188.68
  4. Step 4: Simplify right side
    13,510.92x = 105,083,534.15
  5. Step 5: Solve for x
    x = 105,083,534.15/13,510.92
  6. Step 6: Final answer
    x = 7,777.67

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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.