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Finding the Fourth Proportional to 8,383.28, 12,563 and 6,174.64

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Solution

The fourth proportional to 8,383.28, 12,563 and 6,174.64 is: 9,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.28 : 12,563 = 6,174.64 : x
  2. Step 2: Convert to fraction form
    8,383.28/12,563 = 6,174.64/x
  3. Step 3: Cross multiply
    8,383.28x = 12,563 × 6,174.64
  4. Step 4: Simplify right side
    8,383.28x = 77,572,002.32
  5. Step 5: Solve for x
    x = 77,572,002.32/8,383.28
  6. Step 6: Final answer
    x = 9,253.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.