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Finding the Fourth Proportional to 13,918, 20,876.98 and 4,057.06

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Solution

The fourth proportional to 13,918, 20,876.98 and 4,057.06 is: 6,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918 : 20,876.98 = 4,057.06 : x
  2. Step 2: Convert to fraction form
    13,918/20,876.98 = 4,057.06/x
  3. Step 3: Cross multiply
    13,918x = 20,876.98 × 4,057.06
  4. Step 4: Simplify right side
    13,918x = 84,699,160.48
  5. Step 5: Solve for x
    x = 84,699,160.48/13,918
  6. Step 6: Final answer
    x = 6,085.58

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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.