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Finding the Fourth Proportional to 9,796.50, 13,523.25 and 6,964.35

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Solution

The fourth proportional to 9,796.50, 13,523.25 and 6,964.35 is: 9,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.50 : 13,523.25 = 6,964.35 : x
  2. Step 2: Convert to fraction form
    9,796.50/13,523.25 = 6,964.35/x
  3. Step 3: Cross multiply
    9,796.50x = 13,523.25 × 6,964.35
  4. Step 4: Simplify right side
    9,796.50x = 94,180,646.14
  5. Step 5: Solve for x
    x = 94,180,646.14/9,796.50
  6. Step 6: Final answer
    x = 9,613.70

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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.