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Finding the Fourth Proportional to 4,500, 6,750.72 and 2,746.08

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Solution

The fourth proportional to 4,500, 6,750.72 and 2,746.08 is: 4,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 6,750.72 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    4,500/6,750.72 = 2,746.08/x
  3. Step 3: Cross multiply
    4,500x = 6,750.72 × 2,746.08
  4. Step 4: Simplify right side
    4,500x = 18,538,017.18
  5. Step 5: Solve for x
    x = 18,538,017.18/4,500
  6. Step 6: Final answer
    x = 4,119.56

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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.