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Finding the Fourth Proportional to 7,644.47, 11,451.05 and 4,515.00

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Solution

The fourth proportional to 7,644.47, 11,451.05 and 4,515.00 is: 6,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.47 : 11,451.05 = 4,515.00 : x
  2. Step 2: Convert to fraction form
    7,644.47/11,451.05 = 4,515.00/x
  3. Step 3: Cross multiply
    7,644.47x = 11,451.05 × 4,515.00
  4. Step 4: Simplify right side
    7,644.47x = 51,701,496.80
  5. Step 5: Solve for x
    x = 51,701,496.80/7,644.47
  6. Step 6: Final answer
    x = 6,763.25

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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.