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Finding the Fourth Proportional to 12,497.61, 17,228.91 and 8,513.63

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Solution

The fourth proportional to 12,497.61, 17,228.91 and 8,513.63 is: 11,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.61 : 17,228.91 = 8,513.63 : x
  2. Step 2: Convert to fraction form
    12,497.61/17,228.91 = 8,513.63/x
  3. Step 3: Cross multiply
    12,497.61x = 17,228.91 × 8,513.63
  4. Step 4: Simplify right side
    12,497.61x = 146,680,575.43
  5. Step 5: Solve for x
    x = 146,680,575.43/12,497.61
  6. Step 6: Final answer
    x = 11,736.69

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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.