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Finding the Fourth Proportional to 8,702.96, 13,051.04 and 3,154.64

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Solution

The fourth proportional to 8,702.96, 13,051.04 and 3,154.64 is: 4,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.96 : 13,051.04 = 3,154.64 : x
  2. Step 2: Convert to fraction form
    8,702.96/13,051.04 = 3,154.64/x
  3. Step 3: Cross multiply
    8,702.96x = 13,051.04 × 3,154.64
  4. Step 4: Simplify right side
    8,702.96x = 41,171,332.83
  5. Step 5: Solve for x
    x = 41,171,332.83/8,702.96
  6. Step 6: Final answer
    x = 4,730.73

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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.