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Finding the Fourth Proportional to 4,920, 6,790.08 and 2,712

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Solution

The fourth proportional to 4,920, 6,790.08 and 2,712 is: 3,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920 : 6,790.08 = 2,712 : x
  2. Step 2: Convert to fraction form
    4,920/6,790.08 = 2,712/x
  3. Step 3: Cross multiply
    4,920x = 6,790.08 × 2,712
  4. Step 4: Simplify right side
    4,920x = 18,414,696.96
  5. Step 5: Solve for x
    x = 18,414,696.96/4,920
  6. Step 6: Final answer
    x = 3,742.82

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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.