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Finding the Fourth Proportional to 5,378.16, 8,072.10 and 3,648

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Solution

The fourth proportional to 5,378.16, 8,072.10 and 3,648 is: 5,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.16 : 8,072.10 = 3,648 : x
  2. Step 2: Convert to fraction form
    5,378.16/8,072.10 = 3,648/x
  3. Step 3: Cross multiply
    5,378.16x = 8,072.10 × 3,648
  4. Step 4: Simplify right side
    5,378.16x = 29,447,020.80
  5. Step 5: Solve for x
    x = 29,447,020.80/5,378.16
  6. Step 6: Final answer
    x = 5,475.30

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Why These Related Problems?

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