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Finding the Fourth Proportional to 13,411.66, 20,111 and 7,866.80

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Solution

The fourth proportional to 13,411.66, 20,111 and 7,866.80 is: 11,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.66 : 20,111 = 7,866.80 : x
  2. Step 2: Convert to fraction form
    13,411.66/20,111 = 7,866.80/x
  3. Step 3: Cross multiply
    13,411.66x = 20,111 × 7,866.80
  4. Step 4: Simplify right side
    13,411.66x = 158,209,214.80
  5. Step 5: Solve for x
    x = 158,209,214.80/13,411.66
  6. Step 6: Final answer
    x = 11,796.39

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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.