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Finding the Fourth Proportional to 2,872.53, 4,310.69 and 1,574.91

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Solution

The fourth proportional to 2,872.53, 4,310.69 and 1,574.91 is: 2,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.53 : 4,310.69 = 1,574.91 : x
  2. Step 2: Convert to fraction form
    2,872.53/4,310.69 = 1,574.91/x
  3. Step 3: Cross multiply
    2,872.53x = 4,310.69 × 1,574.91
  4. Step 4: Simplify right side
    2,872.53x = 6,788,940.91
  5. Step 5: Solve for x
    x = 6,788,940.91/2,872.53
  6. Step 6: Final answer
    x = 2,363.40

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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.