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Finding the Fourth Proportional to 18,206.63, 27,320.55 and 7,676.00

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Solution

The fourth proportional to 18,206.63, 27,320.55 and 7,676.00 is: 11,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.63 : 27,320.55 = 7,676.00 : x
  2. Step 2: Convert to fraction form
    18,206.63/27,320.55 = 7,676.00/x
  3. Step 3: Cross multiply
    18,206.63x = 27,320.55 × 7,676.00
  4. Step 4: Simplify right side
    18,206.63x = 209,712,405.20
  5. Step 5: Solve for x
    x = 209,712,405.20/18,206.63
  6. Step 6: Final answer
    x = 11,518.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.