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Finding the Fourth Proportional to 20,787, 31,180.50 and 8,312.64

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Solution

The fourth proportional to 20,787, 31,180.50 and 8,312.64 is: 12,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787 : 31,180.50 = 8,312.64 : x
  2. Step 2: Convert to fraction form
    20,787/31,180.50 = 8,312.64/x
  3. Step 3: Cross multiply
    20,787x = 31,180.50 × 8,312.64
  4. Step 4: Simplify right side
    20,787x = 259,192,271.52
  5. Step 5: Solve for x
    x = 259,192,271.52/20,787
  6. Step 6: Final answer
    x = 12,468.96

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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.