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Finding the Fourth Proportional to 8,702.84, 13,054.20 and 2,129.12

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Solution

The fourth proportional to 8,702.84, 13,054.20 and 2,129.12 is: 3,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.84 : 13,054.20 = 2,129.12 : x
  2. Step 2: Convert to fraction form
    8,702.84/13,054.20 = 2,129.12/x
  3. Step 3: Cross multiply
    8,702.84x = 13,054.20 × 2,129.12
  4. Step 4: Simplify right side
    8,702.84x = 27,793,958.30
  5. Step 5: Solve for x
    x = 27,793,958.30/8,702.84
  6. Step 6: Final answer
    x = 3,193.67

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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.