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Finding the Fourth Proportional to 8,646.85, 12,971.64 and 2,802.09

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Solution

The fourth proportional to 8,646.85, 12,971.64 and 2,802.09 is: 4,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.85 : 12,971.64 = 2,802.09 : x
  2. Step 2: Convert to fraction form
    8,646.85/12,971.64 = 2,802.09/x
  3. Step 3: Cross multiply
    8,646.85x = 12,971.64 × 2,802.09
  4. Step 4: Simplify right side
    8,646.85x = 36,347,761.88
  5. Step 5: Solve for x
    x = 36,347,761.88/8,646.85
  6. Step 6: Final answer
    x = 4,203.58

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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.