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Finding the Fourth Proportional to 16,780, 23,156.40 and 9,226.46

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Solution

The fourth proportional to 16,780, 23,156.40 and 9,226.46 is: 12,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 23,156.40 = 9,226.46 : x
  2. Step 2: Convert to fraction form
    16,780/23,156.40 = 9,226.46/x
  3. Step 3: Cross multiply
    16,780x = 23,156.40 × 9,226.46
  4. Step 4: Simplify right side
    16,780x = 213,651,598.34
  5. Step 5: Solve for x
    x = 213,651,598.34/16,780
  6. Step 6: Final answer
    x = 12,732.51

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1.5x scale

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.