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Finding the Fourth Proportional to 9,769.36, 13,487.16 and 9,176.44

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Solution

The fourth proportional to 9,769.36, 13,487.16 and 9,176.44 is: 12,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.36 : 13,487.16 = 9,176.44 : x
  2. Step 2: Convert to fraction form
    9,769.36/13,487.16 = 9,176.44/x
  3. Step 3: Cross multiply
    9,769.36x = 13,487.16 × 9,176.44
  4. Step 4: Simplify right side
    9,769.36x = 123,764,114.51
  5. Step 5: Solve for x
    x = 123,764,114.51/9,769.36
  6. Step 6: Final answer
    x = 12,668.60

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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.