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Finding the Fourth Proportional to 8,736.40, 13,078.86 and 5,769.40

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Solution

The fourth proportional to 8,736.40, 13,078.86 and 5,769.40 is: 8,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.40 : 13,078.86 = 5,769.40 : x
  2. Step 2: Convert to fraction form
    8,736.40/13,078.86 = 5,769.40/x
  3. Step 3: Cross multiply
    8,736.40x = 13,078.86 × 5,769.40
  4. Step 4: Simplify right side
    8,736.40x = 75,457,174.88
  5. Step 5: Solve for x
    x = 75,457,174.88/8,736.40
  6. Step 6: Final answer
    x = 8,637.10

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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.