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Finding the Fourth Proportional to 14,920.51, 20,589.72 and 8,206.03

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Solution

The fourth proportional to 14,920.51, 20,589.72 and 8,206.03 is: 11,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.51 : 20,589.72 = 8,206.03 : x
  2. Step 2: Convert to fraction form
    14,920.51/20,589.72 = 8,206.03/x
  3. Step 3: Cross multiply
    14,920.51x = 20,589.72 × 8,206.03
  4. Step 4: Simplify right side
    14,920.51x = 168,959,860.01
  5. Step 5: Solve for x
    x = 168,959,860.01/14,920.51
  6. Step 6: Final answer
    x = 11,324.00

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