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Finding the Fourth Proportional to 7,641.78, 11,463.63 and 2,448.18

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Solution

The fourth proportional to 7,641.78, 11,463.63 and 2,448.18 is: 3,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.78 : 11,463.63 = 2,448.18 : x
  2. Step 2: Convert to fraction form
    7,641.78/11,463.63 = 2,448.18/x
  3. Step 3: Cross multiply
    7,641.78x = 11,463.63 × 2,448.18
  4. Step 4: Simplify right side
    7,641.78x = 28,065,029.69
  5. Step 5: Solve for x
    x = 28,065,029.69/7,641.78
  6. Step 6: Final answer
    x = 3,672.58

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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.