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Finding the Fourth Proportional to 20,704.60, 28,555.50 and 12,313

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Solution

The fourth proportional to 20,704.60, 28,555.50 and 12,313 is: 16,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.60 : 28,555.50 = 12,313 : x
  2. Step 2: Convert to fraction form
    20,704.60/28,555.50 = 12,313/x
  3. Step 3: Cross multiply
    20,704.60x = 28,555.50 × 12,313
  4. Step 4: Simplify right side
    20,704.60x = 351,603,871.50
  5. Step 5: Solve for x
    x = 351,603,871.50/20,704.60
  6. Step 6: Final answer
    x = 16,981.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.