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Finding the Fourth Proportional to 12,682.74, 17,500.14 and 7,963.68

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Solution

The fourth proportional to 12,682.74, 17,500.14 and 7,963.68 is: 10,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.74 : 17,500.14 = 7,963.68 : x
  2. Step 2: Convert to fraction form
    12,682.74/17,500.14 = 7,963.68/x
  3. Step 3: Cross multiply
    12,682.74x = 17,500.14 × 7,963.68
  4. Step 4: Simplify right side
    12,682.74x = 139,365,514.92
  5. Step 5: Solve for x
    x = 139,365,514.92/12,682.74
  6. Step 6: Final answer
    x = 10,988.60

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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.