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Finding the Fourth Proportional to 14,718.63, 20,311.91 and 8,431

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Solution

The fourth proportional to 14,718.63, 20,311.91 and 8,431 is: 11,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.63 : 20,311.91 = 8,431 : x
  2. Step 2: Convert to fraction form
    14,718.63/20,311.91 = 8,431/x
  3. Step 3: Cross multiply
    14,718.63x = 20,311.91 × 8,431
  4. Step 4: Simplify right side
    14,718.63x = 171,249,713.21
  5. Step 5: Solve for x
    x = 171,249,713.21/14,718.63
  6. Step 6: Final answer
    x = 11,634.89

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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.