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Finding the Fourth Proportional to 13,709.88, 20,565.15 and 4,475.88

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Solution

The fourth proportional to 13,709.88, 20,565.15 and 4,475.88 is: 6,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.88 : 20,565.15 = 4,475.88 : x
  2. Step 2: Convert to fraction form
    13,709.88/20,565.15 = 4,475.88/x
  3. Step 3: Cross multiply
    13,709.88x = 20,565.15 × 4,475.88
  4. Step 4: Simplify right side
    13,709.88x = 92,047,040.76
  5. Step 5: Solve for x
    x = 92,047,040.76/13,709.88
  6. Step 6: Final answer
    x = 6,713.92

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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.