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Finding the Fourth Proportional to 12,717.73, 17,564.84 and 8,677.63

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Solution

The fourth proportional to 12,717.73, 17,564.84 and 8,677.63 is: 11,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.73 : 17,564.84 = 8,677.63 : x
  2. Step 2: Convert to fraction form
    12,717.73/17,564.84 = 8,677.63/x
  3. Step 3: Cross multiply
    12,717.73x = 17,564.84 × 8,677.63
  4. Step 4: Simplify right side
    12,717.73x = 152,421,182.53
  5. Step 5: Solve for x
    x = 152,421,182.53/12,717.73
  6. Step 6: Final answer
    x = 11,984.94

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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.