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Finding the Fourth Proportional to 5,386.41, 7,432.38 and 3,028.41

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Solution

The fourth proportional to 5,386.41, 7,432.38 and 3,028.41 is: 4,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.41 : 7,432.38 = 3,028.41 : x
  2. Step 2: Convert to fraction form
    5,386.41/7,432.38 = 3,028.41/x
  3. Step 3: Cross multiply
    5,386.41x = 7,432.38 × 3,028.41
  4. Step 4: Simplify right side
    5,386.41x = 22,508,293.92
  5. Step 5: Solve for x
    x = 22,508,293.92/5,386.41
  6. Step 6: Final answer
    x = 4,178.72

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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.