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Finding the Fourth Proportional to 14,431.88, 19,914.18 and 8,143.16

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Solution

The fourth proportional to 14,431.88, 19,914.18 and 8,143.16 is: 11,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.88 : 19,914.18 = 8,143.16 : x
  2. Step 2: Convert to fraction form
    14,431.88/19,914.18 = 8,143.16/x
  3. Step 3: Cross multiply
    14,431.88x = 19,914.18 × 8,143.16
  4. Step 4: Simplify right side
    14,431.88x = 162,164,354.01
  5. Step 5: Solve for x
    x = 162,164,354.01/14,431.88
  6. Step 6: Final answer
    x = 11,236.54

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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.