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Finding the Fourth Proportional to 13,877.82, 20,807 and 5,111.58

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Solution

The fourth proportional to 13,877.82, 20,807 and 5,111.58 is: 7,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.82 : 20,807 = 5,111.58 : x
  2. Step 2: Convert to fraction form
    13,877.82/20,807 = 5,111.58/x
  3. Step 3: Cross multiply
    13,877.82x = 20,807 × 5,111.58
  4. Step 4: Simplify right side
    13,877.82x = 106,356,645.06
  5. Step 5: Solve for x
    x = 106,356,645.06/13,877.82
  6. Step 6: Final answer
    x = 7,663.79

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1.5x scale

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.