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Finding the Fourth Proportional to 15,751.80, 21,745.26 and 10,742.04

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Solution

The fourth proportional to 15,751.80, 21,745.26 and 10,742.04 is: 14,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.80 : 21,745.26 = 10,742.04 : x
  2. Step 2: Convert to fraction form
    15,751.80/21,745.26 = 10,742.04/x
  3. Step 3: Cross multiply
    15,751.80x = 21,745.26 × 10,742.04
  4. Step 4: Simplify right side
    15,751.80x = 233,588,452.73
  5. Step 5: Solve for x
    x = 233,588,452.73/15,751.80
  6. Step 6: Final answer
    x = 14,829.32

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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.