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Finding the Fourth Proportional to 12,497.21, 17,239.65 and 8,464.16

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Solution

The fourth proportional to 12,497.21, 17,239.65 and 8,464.16 is: 11,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.21 : 17,239.65 = 8,464.16 : x
  2. Step 2: Convert to fraction form
    12,497.21/17,239.65 = 8,464.16/x
  3. Step 3: Cross multiply
    12,497.21x = 17,239.65 × 8,464.16
  4. Step 4: Simplify right side
    12,497.21x = 145,919,069.75
  5. Step 5: Solve for x
    x = 145,919,069.75/12,497.21
  6. Step 6: Final answer
    x = 11,676.14

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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.