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Finding the Fourth Proportional to 13,651.00, 20,476.49 and 4,291.70

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Solution

The fourth proportional to 13,651.00, 20,476.49 and 4,291.70 is: 6,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.00 : 20,476.49 = 4,291.70 : x
  2. Step 2: Convert to fraction form
    13,651.00/20,476.49 = 4,291.70/x
  3. Step 3: Cross multiply
    13,651.00x = 20,476.49 × 4,291.70
  4. Step 4: Simplify right side
    13,651.00x = 87,878,828.29
  5. Step 5: Solve for x
    x = 87,878,828.29/13,651.00
  6. Step 6: Final answer
    x = 6,437.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.