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Finding the Fourth Proportional to 13,475.88, 20,205.86 and 5,156.51

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Solution

The fourth proportional to 13,475.88, 20,205.86 and 5,156.51 is: 7,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.88 : 20,205.86 = 5,156.51 : x
  2. Step 2: Convert to fraction form
    13,475.88/20,205.86 = 5,156.51/x
  3. Step 3: Cross multiply
    13,475.88x = 20,205.86 × 5,156.51
  4. Step 4: Simplify right side
    13,475.88x = 104,191,592.34
  5. Step 5: Solve for x
    x = 104,191,592.34/13,475.88
  6. Step 6: Final answer
    x = 7,731.71

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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.