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Finding the Fourth Proportional to 18,562, 27,773.25 and 13,026.15

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Solution

The fourth proportional to 18,562, 27,773.25 and 13,026.15 is: 19,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562 : 27,773.25 = 13,026.15 : x
  2. Step 2: Convert to fraction form
    18,562/27,773.25 = 13,026.15/x
  3. Step 3: Cross multiply
    18,562x = 27,773.25 × 13,026.15
  4. Step 4: Simplify right side
    18,562x = 361,778,520.49
  5. Step 5: Solve for x
    x = 361,778,520.49/18,562
  6. Step 6: Final answer
    x = 19,490.28

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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.