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Finding the Fourth Proportional to 14,892.34, 20,551.45 and 8,178.40

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Solution

The fourth proportional to 14,892.34, 20,551.45 and 8,178.40 is: 11,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.34 : 20,551.45 = 8,178.40 : x
  2. Step 2: Convert to fraction form
    14,892.34/20,551.45 = 8,178.40/x
  3. Step 3: Cross multiply
    14,892.34x = 20,551.45 × 8,178.40
  4. Step 4: Simplify right side
    14,892.34x = 168,077,906.86
  5. Step 5: Solve for x
    x = 168,077,906.86/14,892.34
  6. Step 6: Final answer
    x = 11,286.20

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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.