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Finding the Fourth Proportional to 4,554.26, 6,831.12 and 1,920.64

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Solution

The fourth proportional to 4,554.26, 6,831.12 and 1,920.64 is: 2,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.26 : 6,831.12 = 1,920.64 : x
  2. Step 2: Convert to fraction form
    4,554.26/6,831.12 = 1,920.64/x
  3. Step 3: Cross multiply
    4,554.26x = 6,831.12 × 1,920.64
  4. Step 4: Simplify right side
    4,554.26x = 13,120,122.32
  5. Step 5: Solve for x
    x = 13,120,122.32/4,554.26
  6. Step 6: Final answer
    x = 2,880.85

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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.