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Finding the Fourth Proportional to 5,378.46, 7,424.78 and 3,588.92

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Solution

The fourth proportional to 5,378.46, 7,424.78 and 3,588.92 is: 4,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.46 : 7,424.78 = 3,588.92 : x
  2. Step 2: Convert to fraction form
    5,378.46/7,424.78 = 3,588.92/x
  3. Step 3: Cross multiply
    5,378.46x = 7,424.78 × 3,588.92
  4. Step 4: Simplify right side
    5,378.46x = 26,646,941.44
  5. Step 5: Solve for x
    x = 26,646,941.44/5,378.46
  6. Step 6: Final answer
    x = 4,954.38

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Why These Related Problems?

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