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Finding the Fourth Proportional to 4,797.72, 7,200.68 and 1,878.07

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Solution

The fourth proportional to 4,797.72, 7,200.68 and 1,878.07 is: 2,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.72 : 7,200.68 = 1,878.07 : x
  2. Step 2: Convert to fraction form
    4,797.72/7,200.68 = 1,878.07/x
  3. Step 3: Cross multiply
    4,797.72x = 7,200.68 × 1,878.07
  4. Step 4: Simplify right side
    4,797.72x = 13,523,381.09
  5. Step 5: Solve for x
    x = 13,523,381.09/4,797.72
  6. Step 6: Final answer
    x = 2,818.71

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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.