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Finding the Fourth Proportional to 13,773, 20,642.22 and 7,111.56

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Solution

The fourth proportional to 13,773, 20,642.22 and 7,111.56 is: 10,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773 : 20,642.22 = 7,111.56 : x
  2. Step 2: Convert to fraction form
    13,773/20,642.22 = 7,111.56/x
  3. Step 3: Cross multiply
    13,773x = 20,642.22 × 7,111.56
  4. Step 4: Simplify right side
    13,773x = 146,798,386.06
  5. Step 5: Solve for x
    x = 146,798,386.06/13,773
  6. Step 6: Final answer
    x = 10,658.42

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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.