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Finding the Fourth Proportional to 9,616.80, 13,276.80 and 6,476.16

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Solution

The fourth proportional to 9,616.80, 13,276.80 and 6,476.16 is: 8,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.80 : 13,276.80 = 6,476.16 : x
  2. Step 2: Convert to fraction form
    9,616.80/13,276.80 = 6,476.16/x
  3. Step 3: Cross multiply
    9,616.80x = 13,276.80 × 6,476.16
  4. Step 4: Simplify right side
    9,616.80x = 85,982,681.09
  5. Step 5: Solve for x
    x = 85,982,681.09/9,616.80
  6. Step 6: Final answer
    x = 8,940.88

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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.