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Finding the Fourth Proportional to 14,654, 20,214.60 and 9,340.40

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Solution

The fourth proportional to 14,654, 20,214.60 and 9,340.40 is: 12,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654 : 20,214.60 = 9,340.40 : x
  2. Step 2: Convert to fraction form
    14,654/20,214.60 = 9,340.40/x
  3. Step 3: Cross multiply
    14,654x = 20,214.60 × 9,340.40
  4. Step 4: Simplify right side
    14,654x = 188,812,449.84
  5. Step 5: Solve for x
    x = 188,812,449.84/14,654
  6. Step 6: Final answer
    x = 12,884.70

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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.