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Finding the Fourth Proportional to 13,769, 20,653.56 and 5,561

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Solution

The fourth proportional to 13,769, 20,653.56 and 5,561 is: 8,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769 : 20,653.56 = 5,561 : x
  2. Step 2: Convert to fraction form
    13,769/20,653.56 = 5,561/x
  3. Step 3: Cross multiply
    13,769x = 20,653.56 × 5,561
  4. Step 4: Simplify right side
    13,769x = 114,854,447.16
  5. Step 5: Solve for x
    x = 114,854,447.16/13,769
  6. Step 6: Final answer
    x = 8,341.52

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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.