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Finding the Fourth Proportional to 2,827.65, 4,241.87 and 880.05

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Solution

The fourth proportional to 2,827.65, 4,241.87 and 880.05 is: 1,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.65 : 4,241.87 = 880.05 : x
  2. Step 2: Convert to fraction form
    2,827.65/4,241.87 = 880.05/x
  3. Step 3: Cross multiply
    2,827.65x = 4,241.87 × 880.05
  4. Step 4: Simplify right side
    2,827.65x = 3,733,038.68
  5. Step 5: Solve for x
    x = 3,733,038.68/2,827.65
  6. Step 6: Final answer
    x = 1,320.19

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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.