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Finding the Fourth Proportional to 12,431.99, 17,151.94 and 8,446.16

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Solution

The fourth proportional to 12,431.99, 17,151.94 and 8,446.16 is: 11,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.99 : 17,151.94 = 8,446.16 : x
  2. Step 2: Convert to fraction form
    12,431.99/17,151.94 = 8,446.16/x
  3. Step 3: Cross multiply
    12,431.99x = 17,151.94 × 8,446.16
  4. Step 4: Simplify right side
    12,431.99x = 144,868,029.55
  5. Step 5: Solve for x
    x = 144,868,029.55/12,431.99
  6. Step 6: Final answer
    x = 11,652.84

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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.