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Finding the Fourth Proportional to 12,793.64, 17,654.02 and 9,438.32

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Solution

The fourth proportional to 12,793.64, 17,654.02 and 9,438.32 is: 13,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.64 : 17,654.02 = 9,438.32 : x
  2. Step 2: Convert to fraction form
    12,793.64/17,654.02 = 9,438.32/x
  3. Step 3: Cross multiply
    12,793.64x = 17,654.02 × 9,438.32
  4. Step 4: Simplify right side
    12,793.64x = 166,624,178.18
  5. Step 5: Solve for x
    x = 166,624,178.18/12,793.64
  6. Step 6: Final answer
    x = 13,023.99

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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.