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Finding the Fourth Proportional to 12,597.40, 18,896.10 and 7,682.20

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Solution

The fourth proportional to 12,597.40, 18,896.10 and 7,682.20 is: 11,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.40 : 18,896.10 = 7,682.20 : x
  2. Step 2: Convert to fraction form
    12,597.40/18,896.10 = 7,682.20/x
  3. Step 3: Cross multiply
    12,597.40x = 18,896.10 × 7,682.20
  4. Step 4: Simplify right side
    12,597.40x = 145,163,619.42
  5. Step 5: Solve for x
    x = 145,163,619.42/12,597.40
  6. Step 6: Final answer
    x = 11,523.30

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Double scale
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Similar ratio
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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.