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Finding the Fourth Proportional to 13,703.19, 20,556.93 and 5,805.72

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Solution

The fourth proportional to 13,703.19, 20,556.93 and 5,805.72 is: 8,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.19 : 20,556.93 = 5,805.72 : x
  2. Step 2: Convert to fraction form
    13,703.19/20,556.93 = 5,805.72/x
  3. Step 3: Cross multiply
    13,703.19x = 20,556.93 × 5,805.72
  4. Step 4: Simplify right side
    13,703.19x = 119,347,779.64
  5. Step 5: Solve for x
    x = 119,347,779.64/13,703.19
  6. Step 6: Final answer
    x = 8,709.49

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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.