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Finding the Fourth Proportional to 13,771.86, 20,658.02 and 7,210.86

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Solution

The fourth proportional to 13,771.86, 20,658.02 and 7,210.86 is: 10,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.86 : 20,658.02 = 7,210.86 : x
  2. Step 2: Convert to fraction form
    13,771.86/20,658.02 = 7,210.86/x
  3. Step 3: Cross multiply
    13,771.86x = 20,658.02 × 7,210.86
  4. Step 4: Simplify right side
    13,771.86x = 148,962,054.04
  5. Step 5: Solve for x
    x = 148,962,054.04/13,771.86
  6. Step 6: Final answer
    x = 10,816.41

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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.