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Finding the Fourth Proportional to 13,754.86, 20,640.50 and 4,990.46

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Solution

The fourth proportional to 13,754.86, 20,640.50 and 4,990.46 is: 7,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.86 : 20,640.50 = 4,990.46 : x
  2. Step 2: Convert to fraction form
    13,754.86/20,640.50 = 4,990.46/x
  3. Step 3: Cross multiply
    13,754.86x = 20,640.50 × 4,990.46
  4. Step 4: Simplify right side
    13,754.86x = 103,005,582.26
  5. Step 5: Solve for x
    x = 103,005,582.26/13,754.86
  6. Step 6: Final answer
    x = 7,488.67

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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.