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Finding the Fourth Proportional to 2,855.76, 4,287.30 and 1,558.14

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Solution

The fourth proportional to 2,855.76, 4,287.30 and 1,558.14 is: 2,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.76 : 4,287.30 = 1,558.14 : x
  2. Step 2: Convert to fraction form
    2,855.76/4,287.30 = 1,558.14/x
  3. Step 3: Cross multiply
    2,855.76x = 4,287.30 × 1,558.14
  4. Step 4: Simplify right side
    2,855.76x = 6,680,213.62
  5. Step 5: Solve for x
    x = 6,680,213.62/2,855.76
  6. Step 6: Final answer
    x = 2,339.21

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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.