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Finding the Fourth Proportional to 14,511, 20,025.18 and 7,887

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Solution

The fourth proportional to 14,511, 20,025.18 and 7,887 is: 10,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511 : 20,025.18 = 7,887 : x
  2. Step 2: Convert to fraction form
    14,511/20,025.18 = 7,887/x
  3. Step 3: Cross multiply
    14,511x = 20,025.18 × 7,887
  4. Step 4: Simplify right side
    14,511x = 157,938,594.66
  5. Step 5: Solve for x
    x = 157,938,594.66/14,511
  6. Step 6: Final answer
    x = 10,884.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.