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Finding the Fourth Proportional to 13,658.86, 20,488.20 and 7,811.32

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Solution

The fourth proportional to 13,658.86, 20,488.20 and 7,811.32 is: 11,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.86 : 20,488.20 = 7,811.32 : x
  2. Step 2: Convert to fraction form
    13,658.86/20,488.20 = 7,811.32/x
  3. Step 3: Cross multiply
    13,658.86x = 20,488.20 × 7,811.32
  4. Step 4: Simplify right side
    13,658.86x = 160,039,886.42
  5. Step 5: Solve for x
    x = 160,039,886.42/13,658.86
  6. Step 6: Final answer
    x = 11,716.93

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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.