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Finding the Fourth Proportional to 10,203.58, 15,305.19 and 5,811.67

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Solution

The fourth proportional to 10,203.58, 15,305.19 and 5,811.67 is: 8,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.58 : 15,305.19 = 5,811.67 : x
  2. Step 2: Convert to fraction form
    10,203.58/15,305.19 = 5,811.67/x
  3. Step 3: Cross multiply
    10,203.58x = 15,305.19 × 5,811.67
  4. Step 4: Simplify right side
    10,203.58x = 88,948,713.57
  5. Step 5: Solve for x
    x = 88,948,713.57/10,203.58
  6. Step 6: Final answer
    x = 8,717.40

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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.