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Finding the Fourth Proportional to 7,644.46, 10,549.78 and 4,288.36

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Solution

The fourth proportional to 7,644.46, 10,549.78 and 4,288.36 is: 5,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.46 : 10,549.78 = 4,288.36 : x
  2. Step 2: Convert to fraction form
    7,644.46/10,549.78 = 4,288.36/x
  3. Step 3: Cross multiply
    7,644.46x = 10,549.78 × 4,288.36
  4. Step 4: Simplify right side
    7,644.46x = 45,241,254.56
  5. Step 5: Solve for x
    x = 45,241,254.56/7,644.46
  6. Step 6: Final answer
    x = 5,918.18

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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.